# Math - Domain of Composite function

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Math - Domain of Composite function
Find the domain of the composite function f ₒ g . Please show all of your work. f(x) = √x; g(x) = 2x + 12

Math - Domain of Composite
Find the domain of the composite function . Please show all of your work. f(x) = sqrt(x); g(x) = 2x + 12

Domain of composite function
Can you please help me with the following questions? Find the domain of the composite function f * g. 12. f(x)=x+3, g(x)=1/(x+7) 15. f(x)=7x+70, g(x)=x+2

Domain of composite function
Find the domain of the composite function fog. f(x)=x^2+3;g(x)=sqrtx-4

college algebra
Let f(x) = square root (x + 2) and g(x) = x^2 − 2. Determine the domain of the composite function. (Enter your answer using interval notation.) f compose f ______? & Find the composite function. (f compose f)(x) = _____?

math
find the domain of the composite function fog. f(x)=x/x-2;g(x)=-8/x a. domain of fog is {x/?} b. the domain of fog is all real numbers

Math
What is the composite function of 3x^2-5x+6 and x^2+3x and what is its domain and range

college algebra
Let f(x) = 1/x − 2 and g(x) = 1/x − 3 . Determine the domain of the composite function. (Enter your answer using interval notation.) g compose f _____? & Find the composite function. (g compose f)(x) = _____?

Algebra
Find the domain of the composite function f◦g. Find the domain of the composite function f◦g. F(x)= 3/(x-3); g(x)= 2/x

composite functions
f(x)=2x-4, g(x)=x squared + 5x What is F o G and Domain Okay, we are given f and g as functions of x. To compose a function means to use one function, g in this case, as the argument of the other, f in this case. Thus we want f o g = f(g(x)) With f(x) = 2x-4 and g(x) = x^2 + ...

math
Find the domain of the composite function f of g. f(x)=3/x-6; g(x)= 1/x please help and show the work as well.

Math
whats the composite function of these two equations and its domain and range f(x)=2^x and g(x)=3-x

Functions
consider the functions g(x)=(4-x^2)^0.5 and h(x)=(x^2)-5. find the composite functions hog(x) and goh(x), if they exist, and state the domain and range of the composite functions. ------------------------------ ok, i have figured out that hog(x)=-1-X^2, but in my answer ...

math
find the domain of composite function fog f(x)=x/x-4; g(x)= -1/x please show work

What is the domain of the composite function of f(x)=x^2 and g(x)=sin x when (g o f)(x) and (f o g)(x)?? when i joined the two function it looks the same to me..

algebra 2!
Given f(X)=the square root of x-2 and g(x_=6/x-3 (+1), write the composite function g(f(x)) and state its domain. Where is the resulting function defined?

algebra
find the domain of the composite function f of g. f(x)=x^2+9;g(x)=ãx-7

Algebra- ASAP
Could you please help me and check my answers? Find the domain of the function. f(x)=-8x-2 -I got the domain being (negative infinity, postive infinity). g(x)= 3x/(x^2 -49) (I got (-inifinity,-7)U (-7,7) U (7, +ininfinity) The U is the union symbol. Find the domain of the ...

college algebra
Let f(x) = x + 2 and g(x) = x2 − 2. Determine the domain of the composite function.

college algebra
1.for the given function f&g, find the following and state the domain of each result. f(x)=2x+1/9x-5; g(x) 4x/9x-5 a.(f+g)(x)=? What is the domain? b. (f/g)(x)=? what is the domain? 2.the function f is defined as follows {x+6 if -5 ¡Üx<1 f(x)={9 if x=1 {-x+4 if x>1 a. ...

Functions
Could you please help me and check my answers? Find the domain of the function. f(x)=-8x-2 -I got the domain being (negative infinity, postive infinity). g(x)= 3x/x^2 -49 (I got (-inifinity,-7)U (-7,7) U (7, +ininfinity) The U is the union symbol. Find the domain of the ...

find the domain of the composite function of fog f(x)=x^2+8;g(x)ãx-5

alg
find the domain of the composite function f of g. f(x)=x^2+9;g(x)=sqrtx-7 please show work

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
The above function is given: f(x)= sqrt of (2x-6)/(x-8) - Sarah describes the domain as [3, ∞). - Describe why her domain is incorrect. - Provide the correct domain for the function. (I sort of understand this).

College Algebra
1. Find the domain of the composite function f o g. f(x)= 2/x-3; g(x)= 7/x 2. Solve the following exponential equation. Exact answers only. 2^1-9x = e^2x

college algebra--I really need help!!
Find the domain of the composite function FOG f(x)= 2/x-3; g(x)= 7/x please show work so I can undestand

calculus
Suppose that f(x)= square root of x and g(x)= 3x-4 and you are asked to evaluvate the composite function f(g(0)). What is the complication that occurs in trying to find that composite function value? For waht values of x is it possible to evauvate f(g(x))? Please help me with ...

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

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. ...

find the domain of the composite function fog. f(x)= 2/x-3; g(x)= 7/x please show all work.

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) = 6/x-1 and g(x) = 1+3/x. Please fing the composite function. This is what i got so far. =f (1+3/x) =6/x-1 = =f (1+3/x) = 6/ [1+3/x - 1] How do I get the composite?

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&...

Math22
1. Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] y= (g(x), f(u)) = 2. Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] y = ...

Math
Suppose a function f(x) is defined on the domain [-8,4]. If we define a new function g(x) by g(x) = f(-2x), then what is the domain of g(x)? Express your answer in interval notation.

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&...

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 ...

functions
For each problem, construct two composite functions, . Evaluate each composite function for x=2 ok i have not dealt with composite functions can I please get some help with this as I have 20 questions to do can someone show me step by step on how to properly solve this ...

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 ??? ...

Math
Is the step function differentiable in its domain? I answered it and said that the step function is not differentiable in its domain because it is not continuous. For the a function to be differentiable it would need to have a value and a limit. However, the step function has ...

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...

Math
. The volume of a rectangular box is given by the expression V = (120 − 6w)w2, where w is measured in inches. a. What is a reasonable domain for the function in this situation? Express the domain as an inequality, in interval notation, and in set notation. b. Sketch a graph ...

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

Calculus
Explain, using the theorems, why the function is continuous at every number in its domain. F(x)= 2x^2-x-3 / x^2 +9 A) F(x) is a polynomial, so it is continuous at every number in its domain. B) F(x) is a rational function, so it is continuous at every number in its domain. C) ...

algebra functions
can someone please check my answer For each problem, construct two composite functions, . Evaluate each composite function for x=2 f(x)=3x g(x)=1/x f(g)*(x)=3x(1)/x x=2 3x(1)/x=6 g(f)*(x)=(3x)=2*3x=6 x=2 3*(2)=6*6=36

For each problem, construct two composite functions, . Evaluate each composite function for x=2 f(x)=3x g(x)=1/x f(g)*(x)=3x(1)/x x=2 3x(1)/x=6 g(f)*(x)=(3x)=2*3x=6 x=2 3*(2)=6*6=36

math
how to you find a composite function form of y in this problem? y = 1/[(x^2+3x-5)^3] I don't understand your question. Composite functions require two functions. You listed one. Please amplify. That's what I thought at first. But I am thinking I might need to substitute y in ...

Function Notation
Ive been shown that a function can be written like so f:X->Y,f(x)=rule where X is the Domain and Y, the co-domain. Firstly, what is the co-domain? Ive tried looking it up but all I get is "the set of which y values fall in". If that is the case, say for the function, y=1/(x...

Algebra
Given the following function rules and domains, find the associated ranges. (a) f(x) = 2x +3, Domain = {0, 1, 2} (b) f(x) = 0, Domain = {0, 1, 2} (c) f(x) = 2x + x2, Domain = {1, 0, 2}

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...

math111(3)
The function f(x)=(x+6)^2 is not one-to-one. Choose the largest possible domain containing the number 0 so that f(x) restricted to this domain is one-to-one. The largest possible domain is [-6,infinity) If the restriction function is written F, then inverse function F^{-1}(y)=...

Calculus
Describe the Domain of the Function: F(x)= 2x/(x-2)(x-1) The domain of the function consists of all real numbers x except ____?

Math
Find the requested function and state its domain: f(x)= 4x+3 g(x)=4x-5 Find f/g and its domain. So I did 4x+3/4x-5, so the 4x's cancel out and 3/-5 is left. So my answer is 3/-5. Is this correct Now I just need to find the domain which I am not to sure about.

Math
Find the requested function and state its domain: f(x)= 4x+3 g(x)=4x-5 Find f/g and its domain. So I did 4x+3/4x-5, so the 4x's cancel out and 3/-5 is left. So my answer is 3/-5. Is this correct Now I just need to find the domain which I am not to sure about.

Algebra Check
What is the domain of the function below? ((0,2),(3,1) (5,2) (8,4)) a. (1,2,4) b. (0,3,5,8)** c. (0,1,2,3,4,5,8) d. ((0,2),(3,1) (5,2) (8,4)) Is the following relation a function? ((0.3,0.6), (0.4,0.8), (0.3,0.7), (0.5,0.5)) a. yes b. no** c. cannot be determined What is the ...

math
how would this equation look: y=f(x+3) when y=f(x)= x^2 would it look like so.... x^2(x+3) adam, there's a slight problem with your notation in the expression y = f(x+3). Ordinarily we wouldn't put an expression in place of a variable, unless we were making what is termed a ...

Algebra
Find the domain of each square root function. Then use the domain to match the radical function with it’s graph. The graphs are labeled (a) through (f) and are shown in [-10,10,1] by [-10,10,1] viewing rectangles. f(x)=~(8-2x) a) b) c) d) e) f)

Math(Help!!)
What is the domain? Use a graphing utility to determine the intervals in which the function is increasing and decreasing and approximate any relative maximum or minimun values of the function. g(x) = 12 Ln x / x My answer was: Domain = (12,0) decreasing = (3,-2) and increasing...

Math
What is the domain? Use a graphing utility to determine the intervals in which the function is increasing and decreasing and approximate any relative maximum or minimun values of the function. g(x) = 12 Ln x / x My answer was: Domain = (12,0) decreasing = (3,-2) and increasing...

Math
I have to find the domain and range for the composite of functions G(x)=sinx and h(x)=x^2-x+1. I'm confused about this and would really appreciate some help. Thanks.

College Algebra
A new store opens in New York. You received a coupon for \$5.00 off a pair of jeans j(x) = x-5. When you get to the store you learn that they are giving a 25% discount d(x)=.75x a) Write a composite function for the cost of the jeans if the 25% discount is applied after the \$5....

What is the domain? Use a graphing utility to determine the intervals in which the function is increasing and decreasing and approximate any relative maximum or minimun values of the function. g(x) = 12 Ln x / x My answer was: Domain = (12,0) decreasing = (3,-2) and increasing...

math
determine the domain of the function y=log(subscript/little x)(8-x) so x^y = 8-x how do I find the domain?

Math
Find the domain of the function g(x)= 1/6-5x I know that x is a real number but I need the domain please.

Math
how would i go about finding the domain of the function f(x)=(3x+1)/(sqrt(x^2+x-2)) and both the domain and range of g(x)=(5x-3)/(2x+1)

Find the domain of the following rational function. R(x) = -3x^2 / x^2 + 2x - 48 (x+8)(x-6) So the domain is x cannot be 8 or -6. Am I correct?

Find the domain of the following rational function. R(x) = -3x^2 / x^2 + 2x - 48 (x+8)(x-6) So domain is x cannot be 8 or -6. Am I correct?

Math Algebra 1111
If the domain of a function F is the set of all real numbers and the domain of a function G is the set of all real numbers, under what circumstances do (F+G)(x) and (F/G)(x) have different domains? Whenever G(x) = 0 then the domains would differ. For example, if F(x) =x+2 and ...

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...

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).

math
Find all numbers that are not in the domain of the function. Then give the domain using set notation? F(x)=________17over xSquare+4x-12

math
Find the domain of the function p(x)=2(pie2) -2x+9 What is the domain of p?

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?

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...

Algebra 2
A function is created to represent the costs of living per person in the family. What restrictions would be made to the domain? A-domain includes positive integers B- domain includes positive numbers C-domain includes all real numbers D- domain includes integers. I am not sure...

MATH HELP
A school puts on a play. The play costs \$1,200 in expenses. The students charge \$4.00 for tickets. There will be one performance of the play in an auditorium that seats 500 people. What is the domain of the function that shows the profit as a function of the number of tickets ...

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 ...

calculus
You are given the following function. f(x)= (8+x)/(1-8x) (a) Find the derivative of the function using the definition of derivative. (b) Give the domain of the function. c) Give the domain of derivative of function?

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 ___

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
Express the volume of a sphere as a function of its radius. What is the domain of this function? Does this function have an inverse? If so what is it?

MATH Graphing Domain
Consider the linear function with equation y = 3x + 5. Sketch the graph of the linear function on the grid. h t t p : //img402 . imageshack . us/img402/1466/picture38c . j p g Here is a picture of the graph, and this is how I did it. h t t p : //img9 . imageshack . us/img9/...

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 functions
construct two composite functions, Evaluate each composite function for x=2. i do not fully understand functions yet can someone explain and show me what to do step by step f(x)=x+1 g(x)=x-2

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?

Math
what is the domain of this function how did you find the domain. f(x)=(2x-3)/(x+9)

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 ...

Math (calc)
Given the function: f(x)=x^3(x-2)^2 , on the interval [-1,3] find the domain and Asymptotes ...Isn't the domain (-1<x<3) ? and as for the asymptotes I thought you could only find them for rational functions and since that function is not rational I guess there aren't any...

Math
Determine the composite function of F(x)=2^x and g(x)=3-x

math
The number 5 is A) prime B) composite C) neither prime nor composite D) both prime and composite

college trig
I need to find the domain of the following function: y=arcsin((x-3)/(2x+1)) My math is a bit rusty after holidays...This is what I did: (I'll use <> for the sign of 'not equal') -> 2x+1<>0 <=> 2x<>-1 <=> x <> -1/2 But i'm not sure about ...

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 ...

Math Graphing
Consider the linear function with equation y = 3x + 5. Sketch the graph of the linear function on the grid. h t t p : //img402 . imageshack . us/img402/1466/picture38c . j p g Here is a picture of the graph, and this is how I did it. h t t p : //img9 . imageshack . us/img9/...

Math
Let f(x)= 2x^2, g(x)= 5x-6, and m(x)= 3x. Find and simplify the composite function g(m(f(x))).

Math
Determine the composite function of F(x)= sin x and g(x)=x

math
The function g(x)= x/453.6 converts x grams to pounds, as shown. Which composite function expresses the number of pounds that can be lifted by a balloon containing x ft3 of air?

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