# f(x)=√x-2 Find the domain of the function is it x-2 the range of function is it (00,-2) the domain of the inverse is it x>-2 The range of the inverse is it (-2,00) Thanks

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### algebra

1 (a) A function passes through the points (0, -5), (1, 0), (2, 7). Use finite differences to determine the equation of the function. (b) Draw the graph of the function. (c) Draw the inverse on the graph. (d) Show at least two different restrictions to the domain that could be...

### Advanced Algebra

What is the inverse of each of the functions defined by the following equations, if the inverse exists. If the inverse does not exist for the largest possible domain, limit the domain so that the inverse will exist. In each case, give the domain and range of both the function ...

### Pre-calculus

Given the following values for f(t): t : f(t) 3 : -7 6 : 6 9 : 19 12 : 6 15 : -7 18 : 6 a) What is the period, frequency, midline, amplitude, maximum, and minimum? b)Find a possible formula for f(t) c)Find the domain and range of f(t) d)Find a formula for an inverse function ...

### college algebra

f(x)=√x-2 Find the domain of the function is it x-2 the range of function is it (00,-2) the domain of the inverse is it x>-2 The range of the inverse is it (-2,00) Thanks

### pre calculus

Find the inverse of the function below. Graph the function below and the inverse. Determine the domain, range and asymptotes of the function below and the inverse function. Please show all your work. f(x) = 2e^-x + 5 Just looking at this gives me a headache. HELP!

### Math 3

Find the inverse of the function f(x) = 5 – e^(x-1). Determine the domain, range, and asymptotes of the function and its inverse function. Please show all of your work.

### College Algebra

Find the inverse of the function below. Graph the function below and the inverse function. Determine the domain, range, and asymptotes of the function below and the inverse function. Please show all of your work. Show both graphs. f(x)=2ln(3-x)+6

### Algebra-I'm still stuck

The one-to-one function f is defined by f(x)=(4x-1)/(x+7). Find f^-1, the inverse of f. Then, give the domain and range of f^-1 using interval notation. f^-1(x)= Domain (f^-1)= Range (f^-1)= Any help is greatly appreciated. Algebra - helper, Wednesday, February 2, 2011 at 7:...

### precalculus

Find the inverse of the function below. Graph the function below and the inverse function. Determine the domain, range, and asymptotes of the function below and the inverse function. Please show all of your work. and graph. f(x)=e^-x/2+4

### precalculus

find the inverse of the function, graph the inverse function, determine the domain, range and asympotoes f(x)= e^-x/(2)+4

### Calc

range of f(x)= 5^(2x^2-1)^(1/2) i know that the domain of the inverse would be the range of this and i've found the inverse but it has natural logs in it and i don't know how to find the domain with that.. i feel like i'm missing something simple

### calculus

Consider the function . a. Find the domain and range of h. b. What is the inverse of h? c. Find the domain and range of h. d. Is h a function? Explain

### calcius

Determine whether the relation represents a function. If it is a function, state the domain and range. {(-2, 1), (-1, -2), (0, -3), (1, -2), (3, 6)} a. function domain: {-2, -1, 0, 1, 3} range: {1, -2, -3, 6} b. function domain: {1, -2, -3, 6} range: {-2, -1, 0, 1, 3} c. not a...

### Math

HELP PLEASE!!! I'm having some trouble with this question on my Maths hw. Any help is appreciated:) Identify the domain and range of the function. y=-0.25x^2 1. domain: (-oo, 0] range: (-oo, oo) 2. domain: (-oo, oo) range: (-oo, 0] 3. domain: (-oo, oo) range: (-oo, 0) 4. ...

### precalculus check immediately

suppoe f is a function with domain [1,3]and range[2,5]? define functions g and h by g(x)=3f(x)and h(x)=f(4x) what is domain and range of g what is domain and range of h I solved it and got it like this domainof g=[1,3]and range of g=[3,9] Domain of h=[4,12] and range of h=[2,5...

### Trigonometry

In this problem, you will describe in detail how we arrive at the accepted definition of the function y= Arccsc(x) a) Sketch the cosecant function over the interval (-2pi, 2pi) i can do that b) This function is not one to one - please explain in detail the meaning of this ??? ...

### Calculus

If g(X) = 2+ln(x-5), find the inverse function, (g^(-1))(x) Solution: y = 2+ ln(x-5) e^y = 2 + x - 5 x = e^y + 3 y = e^x + 3 g^(-1) = y = e^x + 3 Is that right? I'm following an example - but don't really get it - how do I determine the domain and range - I know they flip when...

### algebra

Find the domain and range of the relation and determine whether it is a function? Answers are Domain x>1 range y>0yes it is a function Domain all real numbers,range all real numbers yes it is a function Domain positive integers, range positive integers no it is not a ...

### Algebra

Ok I got another one I can figure out The one-to-one function f is defined by f(x)=(4x-1)/(x+7). Find f^-1, the inverse of f. Then, give the domain and range of f^-1 using interval notation. f^-1(x)= Domain (f^-1)= Range (f^-1)= Any help is greatly appreciated.

### math (2nd Try)

You have 6 cups of sugar. It takes 1 cup of sugar to make 24 cookies. The function c(s) = 24s represents the number of cookies, c, that can be made with s cups of sugar. What domain and range are reasonable for the function? These are my options: domain: 1<s<6 Range: 24&...

### Math

You have 6 cups of sugar. It takes 1 cup of sugar to make 24 cookies. The function c(s) = 24s represents the number of cookies, c, that can be made with s cups of sugar. What domain and range are reasonable for the function? These are my options: domain: 1<s<6 Range: 24&...

### Functions - math

The function f is such that f(x) = 2x + 3 for x ≥ 0. The function g is such that g(x)= ax^2 + b for x ≤ q, where a, b and q are constants. The function fg is such that fg(x)= 6x^2 − 21 for x ≤ q. i)Find the values of a and b ii) Find the greatest possible value of q...

### Algebra (Last Question)

I have - to graph each relation - decide if it is a function - state the domain and the range. 1) {(2,3),(4,-3),(5,1),(-1,3)} how would I decide if something is a function in general? I kind of remember the domain and the range,but since I did this 2 years ago I forgot. Is the...

### Algebra- is my answer right

The one-to-one function f is defined by f(x)=(4x-1)/(x+7). Find f^-1, the inverse of f. Then, give the domain and range of f^-1 using interval notation. f^-1(x)= Domain (f^-1)= Range (f^-1)= Any help is greatly appreciated. Algebra - helper, Wednesday, February 2, 2011 at 7:...

### Math / Algebra

Can you check my work? Thank you :) 1. The Domain of a function F is the same as the range of F^-1 (True or False?) Answer: True. 2. Does the function y = |x-2| have an inverse? Select the best answer. A. Yes, it passes the horizontal line test. B. No, it does not pass the ...

### Calculus

Find the domain, range, and inverse of the function f(x)=arcsin(sqrt(x))

### Precalculus

The question(s) are as follows: Given: f(x) = 3cos(3x+π) - 4 Find: a) the inverse of F(x) b) the domain and range of F(x) c) the domain and range of F -1(x) I got cos-1[(x-4)/9] - π = y for the inverse, although I'm not sure I did the problem right (I set x to y and ...

### pre-calculus

find the inverse of the following function. Find the domain, range, and asymptotes of each function. f(x)=3+1n(x+2)

### alg 1

Quadratic graphs and their properties: Identify the domain and range of each function: y = 4x^2 - 3 I have no idea how to find the range and domain. Would you please explain in detail how I can determine the domain and range in the quadratic problems?

### Math (Domain and range)

Evaluate the function f(x)={9x+5, x<0 {9x+6, x>(or equal to)0 Determine its domain and range using interval notation? I believe the domain is (-infinity,infinity) but how would I find the range?

### calculus

Find the inverse of the following function. Find the domain, range, and asymptotes of each function. Graph both functions on the same coordinate plane. f(x)=3+e^4−x

### precalculus

find the inverse of function f(x)=4-2ln(x+1). state domain, range and any asymptotes of both

### Math

What are the domain and range of the function {(0, 2), (-2, 4), (2, 8), (1, 6), (-5, 0)}? 1. Domain: {2, 4, 8, 1, -5}; Range: {0, -2, 6} 2. Domain: {0, -2, 6}; Range: {2, 4, 8, 1, -5} 3. Domain: {2, 4, 8, 6, 0}; Range: {0, -2, 2, 1, -5} 4. Domain: {0, -2, 2, 1, -5}; Range: {2...

### Math

What are the domain and range of the function {(0, 2), (-2, 4), (2, 8), (1, 6), (-5, 0)}? 1. Domain: {2, 4, 8, 1, -5}; Range: {0, -2, 6} 2. Domain: {0, -2, 6}; Range: {2, 4, 8, 1, -5} 3. Domain: {2, 4, 8, 6, 0}; Range: {0, -2, 2, 1, -5} 4. Domain: {0, -2, 2, 1, -5}; Range: {2...

### Pre-Cal.

find the inverse of the following function. Find the domain, range,and asymptotes of each function. Graph both functions on the same coordinate plane. f(x)=3+lnx

### Calculus, check my answers, please! 3

Did I get these practice questions right? 1. Suppose that f is an even function whose domain is the set of all real numbers. Then which of the following can we claim to be true? ***The function f has an inverse f –1 that is even. The function f has an inverse f –1, but we ...

### pre calculus

Find the inverse of the following function. Find the domain, range, and asymptotes of each function. Graph both functions on the same coordinate plane. F(x)= ln(8-x) I am totally lost, somebody please help????

### math

questions involving domain and range... 1. Find the domain of the function f(x)=(3x+1)/(sqrt of (x^2+x-2)) andd. 2. Let f(x)= (absvalue(x))/x. Show that f(x)={ 1, x > 0 {-1, x < 0 Find the domain and range of f(x).

### Pre-Calculus

g(x)= x^2+7 Find the inverse of g(x) and state the domain and range for the inverse of g(x) using interval notation

### calculus

Find the inverse the following function. Find the domain, range, and asymptotes of each. f(x)=In(x+1)+1 Please show work

### math

find the inverse of the following function. find the domain, range and asymptotes of each. f(x)=In(x+1)+1 please show work.

### Algebra plz help

1.Identify the domain and range of the following relation. {(3,7),(3,8),(3,-2),(3,4),(3,1)} A.Domain:{3} Range:{-2,1,4,7,8}**** B.Domain:{-2,1,4,7,8} Range:{3} C.Domain:{all real numbers} Range:{all real numbers} D.Domain:O/ Range:O/ 2.Determain whether the following relation ...

### college algebra

Find the inverse of the following function. Find the domain, range, and asymptotes of each function. Graph both functions on the same coordinate plane f(x)=4+e^-x/3 please help me! show steps also, if i an just given an answer that wont help me! thanks in advance!!!

### Algebra

I've learned that the difference between domain and range is.....domain is the set of possible X values and range is the set of possible Y values. also, a domain is the values that a function maps "from" and the range is the values that a function maps "to" I am having ...

### Math

For the set of ordered pairs, state the domain, range, and determine whether or not the relation represents a function. (9,9), (7,4), (1,2), (2,6), (5,0) Domain: 9,7,1,2,5 Range: 9, r, 2, 6, 0 It is a function because no x value is repeated

### urgent urgent algebra

find the composite function fog f(X) = 1/X-5,g(x)-6/x question 2 find inverse, domain range and asymatotes of each function f(x)=3+e^4-x can some one help me please been stuck on these for 2 days need help solving thank you

### 11th grade maths

A.give an example of a function whose domain is {3,4,7,9}? and whose range is {-1,0,3} B.Find two different functions whose domain is {3,8}and whose range is {-4,1} C Explain why there does not exist a function whose domain is {-1,0,3} and whose range is [3,4,7,9} D.Give an ...

### Algebra

1.Identify the domain and range of the following relation. {(3,7),(3,8),(3,-2),(3,4),(3,1)} A.Domain:{3} Range:{-2,1,4,7,8}**** B.Domain:{-2,1,4,7,8} Range:{3} C.Domain:{all real numbers} Range:{all real numbers} D.Domain:O/ Range:O/ 2.Determain whether the following relation ...

### algebra

2. The function f is defined as follows f(x)={4+2x if x<0 {x^2 if x>0 a) Find the domain of the function b) Locate any intercepts c) Graph function d) Based on graph find range e) Is f continuous on its domain? a) The domain of the function f is

### Algebra

Let f(x) =(x+3)/(2x-5) Find the inverse function of f What is the domain of f? What is the domain of the inverse function?

### Algebra

23. The ___ axis represents the independent variable. X? 21. Name the set(s) of numbers to which 1.68 belongs. a. rational numbers b. natural numbers, whole numbers, integers, rational numbers c. rational numbers, irrational numbers d. none of the above I'm not sure 27. The ...

### Calculus

I'm doing graphs/domain/range of basic functions. I have three questions: How do I find the domain and range of a function? (more preferably range...I'm okay but shaky on domain) Ex: f(x)=1/(x^2) Also, how do you write the domain and range with notation? Like when you use ...

### algebra

can someone help me find the domain and range of the function f(x)=3(x-3)^2-1 I think the domain is all real numbers but I'm not sure about the range

### PreCalc!

sketch a graph whose domain is the interval [0, infinity) but whose domain must be restricted to [0,4] so that the function can have an inverse. (The only one i can think of is a parabola but she said we cant use that one) Consider the 2 statements: I. if f(a)=b then f(inverse...

### Algebra

I think this is a easy trick question, so I probably know the answer but I just wanted to double check. What is the domain and range of the function f(x) = 3^x Find the f^-1 and its domain and range? Thanks for your help.

### Trigonometry

IM STUCK ON THESE :( 1. What is the equation for shifting the standard sine curve +2 units horizontally? A. y = sin (x + 2) B. y = sin x + 2 C. y = sin x − 2 D. y = sin (x − 2) 3. What is tan-¹ √3/3 ? A. π/4 B. -π/3 C. π/6 D. -π/4 4. cot...

### Trigonometry

IM STUCK ON THESE :( 1. What is the equation for shifting the standard sine curve +2 units horizontally? A. y = sin (x + 2) B. y = sin x + 2 C. y = sin x − 2 D. y = sin (x − 2) 3. What is tan-¹ √3/3 ? A. π/4 B. -π/3 C. π/6 D. -π/4 4. cot...

### Math

Suppose f is a function with range (-∞,∞) and g is a function with domain (0, ∞). Is it possible that g and f are inverse functions? Explain.

### algebra

Graph the following function using the technique of shifting, compressing, strecthing and/or reflecting Find domain and range of the function g(x)=2sqrtx-3+7 domain=___ (interval notation) range=_____ (interval notation)

### math

given the domain of g(x) is (-3,5) and the range of g(x) (-10, 10) find the domain and range of the transformed function 4g(x-7)+12

### Math

The function f(x)=(x-5)^2+2 is not one-to-one. Identify a restricted domain that makes the function one-to-one, and find the inverse function. a. restricted domain: x>or=5; f^-1(x)=5-sqrt(x-2) b. restricted domain: x>or=5; f^-1(x)=5+sqrt(x-2) c. restricted domain: x<...

### Algebra

What is the difference between domain and range? Describe a real life situation that could be modeled by a function? I think I understand domain and range. Domain is the x axis and range is the y axis correct? I need help with applying it to real life. Thank you.

### precalculus

the following function is one-to-one find its inverse. find domain and range of f and f^-1 show work f(x)=^3sqrt(x-3)

### MAth

how do i find the domain and range of equations? example: f(x)=ab.solute value of x-3. f(x)=square root 36-x^2 g(x)=-2x+2. how would i know what the domain and range is of these. could i use a graphing calculator to tell me the domain and range??

### 11th grade mths

Please check urgently .I have to submit the assignment A give an example of a function whose domain equals the set of real numbers and whose range equals the set? the set {-1,0,1} BGive an example of a function whose domain equals (0,1)and whose range equals [0,1] C.Give n ...

### Algebra 1 - Help!?

Two big questions that are driving me mad. 1) Given the following linear function sketch the graph of the function and find the domain and range. f(x) = 2/7x - 2 2) Given the following linear function sketch the graph of the function and find the domain and range. f(x) = -5x...

### math

You have 6 cups of sugar. It takes 1 cup of sugar to make 24 cookies. The function c(s) = 24s represents the number of cookies, c, that can be made with s cups of sugar. What domain and range are reasonable for the function? (I know that you get 144 cookies from 6 cups of ...

### Math

You have 6 cups of sugar. It takes 1 cup of sugar to make 24 cookies. The function c(s) = 24s represents the number of cookies, c, that can be made with s cups of sugar. What domain and range are reasonable for the function? (I know that you get 144 cookies from 6 cups of ...

### math

You have 6 cups of sugar. It takes 1 cup of sugar to make 24 cookies. The function c(s) = 24s represents the number of cookies, c, that can be made with s cups of sugar. What domain and range are reasonable for the function? (I know that you get 144 cookies from 6 cups of ...

### algebra

Find the inverse of the following function. Find the domain, range, and asymptotes of each function. Graph both functions on the same coordinate plane -x/3 f(x)=4+e ( if this makes sense, not sure how else to show it. the -x/3 is after the e like -x/3 to the power of e) please...

### College Algebra

Consider the function f(x)=4 - x^2 for the domain [ 0,∞). Find f^−1 (x), where f^−1 is the inverse of f. Also state the domain of f^−1 in interval notation. f^-1 (x) = ___ for the domain ___

### Pre-Calculus

Define the inverse secant function by restricting the domain of the secant function to the intervals (0, pi/2) and (pi/2, pi), and sketch the inverse function’s graph.

### Calculus

What is the domain and range of the following function? f(x)= - sqrt(-lnx+2) For the domain, I got 0<x<or equal to e^2 Is this right? And can someone help with range?

### graphing

(0,-2)is the vertex- what is the domain and range??? State the domain and range of the function. (Enter your answers using interval notation.)

### math

my domain is 1,2,3,4,5,6 and my range is 180,165,150,135,120,105, the domain is increasing by 1 and the range is decreasing by 15 but I do not know how to write the function

### Algebra

I had a question on a quiz that I just finished and I wanted to know if my answer was right. Is 4x-y^=0 a function. If so, what is the domain and range? If not, name two points that prove it. I wrote that it was a function with -5 and lower as a restriction and Domain (-5, ...

### Functions, domain,range etc

Determine the domain,range and horizontal asymptote of f(x)=(3/2)^(4-x). Graph the function

### Algebra. Formalizing relations and functions

1.Identify the domain and range of the following relation. {(3,7),(3,8),(3,-2),(3,4),(3,1)} A.Domain:{3} Range:{-2,1,4,7,8} B.Domain:{-2,1,4,7,8} Range:{3} C.Domain:{all real numbers} Range:{all real numbers} D.Domain:O/ Range:O/

### Math

Find inverse of f if f(x)= x^2-4x+3, (for x is smaller than and equal to 2). First prove that f(x) is one to one in the defined domain of f and then obtain the inverse function. I know how to find the inverse. We just switch x and y. so y=x^2-4x+3 becomes x=y^2-4y+3 Inverse of...

### Algebra

Find domain and range of each. {(-1,2) (0,2) (1,3) (2,2)} Domain: {-1,0,1,2} Range: {2,3} {(1,5) (2,9) (3,9)} Domain: {1,2,3} Range: {5,9} {(1,2) (1,5) (3,7)} Domain: {1,3} Range: {2,5,7} Are these all right?

### math

Now, think of a set of domain and range from your own life. Write a paragraph on whether you think your particular domain and range is or is not a function and why. I need a life a example? is it a function?

### Calculus Help

The formula C =5/9(F − 32), where F ≥ −459.67, expresses the Celsius temperature C as a function of the Fahrenheit temperature F. Find a formula for the inverse function. What is the domain of the inverse function? (Enter your answer using interval notation.)

### Pre-Calc/Trig

State the domain and range for each function. y=2x^2/(x^2-1) domain: ? range: ?

### Advanced Functions 12

A student writes, "The inverse of y = -√(x+2) is y = x^2 - 2." Why is this statement false? I don't understand how it isnt the inverse. The textbook says that changing the domain will make it the inverse? Wouldn't that only make it a function?

### math

Bronze is an alloy or mixture of the metals copper and tin. The properties of bronze depends on the percentage of copper in the mix. A chemist decides to study the properties of a given alloy of bronze as the proportion of copper is varied. She starts with 7 kg of bronze that ...

### Algebra

Some functions that aren't invertible can be made invertible by restricting their domains. For example, the function x^2 is invertible if we restrict x to the interval [0,inf), or to any subset of that interval. In that case, the inverse function is \sqrt x. (We could also ...

### Math (pre-calculus)

Hey! I have a domain and range question! I don't remember how to get these, can you help? How do you calculate the domain and range of these? What's the domain and range of each? a. f(x)= 1/x=3 b. g(x)= [square root of] (x+6) c. h(x)= x^3+2x+5 Thanks for help!:)

### Calculus

If f(x)= -4x^2+7 and x≤0, what is the equation of the inverse function? The answer is supposed to be f^-1(x)= -[√(7-x)]/2, but this is what I did: x=-4y^2+7 -4y^2=x-7 y^2=(x-7)/-4 y= √[(x-7)/-4] Did I do something wrong? By the way, for the original function...

### algebra II

which of the following relationships is a function a.Domain Range B.y^2=x^2-3x+4 3 2 4 1 7 c.Domain Range C.y^2=2x^2 13 0 2 4 -1

### math

A movie theater seats 500 people. For any particular show, the amount of money the theater makes is a function m(n) of the number of people, n, in attendance. If a ticket costs 2 dollars, find the domain and range of this function. domain: ?≤ n ≤? range: ?≤ m...

### Algebra 2

Hi, I need help finding the domain and range of the Quadratic Model on part b. I've included part a. just in case you may need it. a.The parabolic path of a thrown ball can be modeled by the table. the top of the wall is at (5,6). Will the ball go over the wall? If not,will it...

### Math

Find the domain and range of the inverse f(x)=-4x-2 y=-4x-2 x=-4y-2 x+2/-4=-4y/-4 f(x)=x+2/-4 answer: domain (all real numbers) range (all real numbers)

### math

A function f(x) has domain [0,25), range (-∞,5], and intercepts (2,0), i(17,0), 0,9). A function h(x) has domain (-∞,16), range (-∞,42) and intercepts (3,0), (0,-10). Find the domain of each of the following. 1. f + h 2 f/g 3. f*g

### Maths(please check urgently

Please check urgently .I have to submit the assignment A give an example of a function whose domain equals the set of real numbers and whose range equals the set? the set {-1,0,1} BGive an example of a function whose domain equals (0,1)and whose range equals [0,1] C.Give n ...

### math

Some functions that aren't invertible can be made invertible by restricting their domains. For example, the function x^2 is invertible if we restrict x to the interval [0,\inf), or to any subset of that interval. In that case, the inverse function is-\sqrt x. (We could also ...

### Need Help!! Algebra

I am having trouble in this class and need help with this question.. What similarities and differences do you see between functions and linear equations studied Are all linear equations functions? Is there an instance in which a linear equation is not a function? (I understand...

### inverse

If f(x)=cosx + 3 how do I find f inverse(1)? Thanks y = cos(x) + 3 the inverse of this is x = cos(y) + 3 solve for y and you have your inverse The cos function only has a range of [-1,1], so the range of f(x) is [2,4]. this means f inverse of 1 doesn't exist. I didn't ...

### calculus

given the following piecewise function x+11 for -9<=x<-3 y= { 2 for -3<=x<=2 2x-6 for 2<x<=5 a. find the domain b. find the range c. find the intercepts d. is f continuos on its domain. If not, state where f is discontinious e. graph the function This symbol...

### math

The cost of producing q articles is given by the function C=f(q)=100+2q. (A) Find the formula for the inverse function. (B) Explain in practical terms what the inverse function tells you. I am pretty sure the answer to A is f^-1(C)=C/2-50 For B, the inverse of the function is ...