# Functions

3,165 results

### Calculus

We're learning about different kinds of functions and I don't really understand the difference between rational and algebraic functions. I know that rational functions are functions that are a ratio of two polynomials, and algebraic functions are any functions that can be made...

### advanced functions/precalculus

1. The function f(x) = (2x + 3)^7 is the composition of two functions, g(x) and h(x). Find at least two different pairs of functions g(x) and h(x) such that f(x) = g(h(x)). 2. Give an example of two functions that satisfy the following conditions: - one has 2 zeros - one has ...

### Math

Can you check my work and tell me if I did anything wrong? 1. With the functions: f(x) = x^2 + 3x and g(x) = -3 + x what is f(x) + g(x)? Answer: x^2 + 4x - 3 2. With the functions: f(x) = x + 4 and g(x) = x -3 what is (f*g)(x)? Answer: x^2 + x - 12 3. With the functions: f(x...

### Math

If the inverses of two functions are both functions, will the inverse of the sum or difference of the original functions also be a function? Explain your reasoning.

### Functions in Math

Im looking at internet sites and Im not quite understanding functions. I have a question like; A function f(x) has the properties i) f(1) = 1 ii) f(2x) = 4f(x)+6 Could you help me out. I know nothing about functions.

### Math

Rewrite the following exponential functions as logarithmic functions, and the logarithmic functions as exponential functions a) f(x)=(7/8)^x b) f(x)=log12x c) f(x)=log5/9x

### Math

Rewrite the following exponential functions as logarithmic functions, and the logarithmic functions as exponential functions: f(x)=(7/8)^x b) f(x)=log12x c) f(x)=log5/9x

### Algebra

Use composition of functions to show that the functions f(x) = 5x + 7 and g(x)= 1/5x-7/5 are inverse functions. That is, carefully show that (fog)(x)= x and (gof)(x)= x.

### Calculus

Find the sum and difference functions f + g and f – g for the functions given. f(x) = 2x + 6 and g(x) = 2x - 6 f(x) = x^2 - x and g(x) = -3x + 1 f(x) = 3x^3 - 4 and g(x) = -x^2 + 3 State the domain and range for the sum and difference functions in #3. Find the product and ...

### Composite Functions

Find the composite functions for the given functions. (6 marks) f(x) = 4x + 1 and g(x) = x2 f(x) = sin x and g(x) = x2 - x + 1 f(x) = 10x and g(x) = log x

### Algebra

Graph and label the following two functions: f(x)=(x^2+7x+12)/(x+4) g(x)=(-x^2+3x+9)/(x-1) 1. Describe the domain and range for each of these functions. 2. Determine the equation(s) of any asymptotes found in the graphs of these functions, showing all work. 3. Discuss the ...

### Check my CALCULUS answers please!

Any short explanation for things I got wrong would be great, too, if possible! Thanks in advanced! :) 8. Which of the following functions grows the fastest? ***b(t)=t^4-3t+9 f(t)=2^t-t^3 h(t)=5^t+t^5 c(t)=sqrt(t^2-5t) d(t)=(1.1)^t 9. Which of the following functions grows the ...

### statistics

A mini-computer system contains two components, A and B. The system will function so long as either A or B functions. The probability that A functions is 0.95, the probability that B functions is 0.90, and the probability that both function is 0.88. What is the probability ...

### 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

### Pre-Calculus

Operations with Functions write the function below as either a sum/difference/product/quotient of 2 r more functions a. h(x) = x^2+3x+9 How Would I do this? My teacher just did this f(x) = x^2 g(x) 3x+9 ^I don't really understand h(x)=(x+5)(x-3) how would I do this one? If h(x...

### Calculus

Math questions, please help me? :(? Find the composite functions f o g and g o f for the given functions. f(x) = 10^x and g(x) = log x State the domain and range for each: f(x) = 4x + 1 and g(x) = x^2 f(x) = sin x and g(x) = x^2 - x + 1 f(x) = 10^x and g(x) = log x If f = {(-2...

### science

does the liver have exocrine and endocrine functions? if so, what the functions? I don't think the liver has both exocrine and endocrine functions. I could be wrong. Someone kindly explain?

### 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 ...

### cjs/210

Will someone please help me find a website to answer the following questions? What are the various functions of a police agency? Compare how the functions of a police agency differ at the federal, state, and local levels. What would happen if the various functions and roles of...

### Computer programming

Functions and procedures are used all the time in Modular programming. Can functions replace procedures? what are the advantages of using functions over procedures? Are there any advantages to using procedures over functions?

### Domains of Functions

I don't understand how to do this problem, can you please help me? Given the functions f and g, determine the domain of f+g. 4. f(x)= 2x/(x-3) g(x)=3/(x+6)

### Math

use the functions f(x)=x+4 and g(x)=2x-5 to find the specified functions. (g X f)^-1 Would the answer be x+1 over 2?

### Algebra 2

for the functions f(x) = 5x +50 and g(x) = 1/5x -10 evaluate both f(g(x)) and g(f(x)). Are these functions inverses? do you put them into each other?

### science

what functions do individual cells perform that are similar to the functions of our bodies?

### science

what functions do individual cells perform that are similar to the functions of our bodies?

### advance functions gr12 HELP ASAP

using rational functions solve (x+5)/(x-3)= (2x+7)/(x) thank you

### advance functions gr12 HELP ASAP

Using rational functions solve 7+ (1)/x = 1/(x-2) thank you

### Science PLEASE HELP

what functions do individual cells perform that are similar to the functions of our bodies?

### calculus

for trigonometric functions and rhythmic functions questions, how do you know when to use either f(t)=A sin (w(t-a)) or f(t) = A cos ( w(t-a)) ?

### Advanced Functions

Beginning with the function f(x) = (0.8)x, state what transformations were used on this to obtain the functions given below: g(x) = - (0.8)x -2 h(x) = ½ (0.8)x-2 k(x) = (0.8)-3x+9

### advance functions gr12 (SORRY LAST ONE HAD A TYPO)

Using rational functions solve 7+ (1)/x = 1/(x-2)

### Science

How are the functions of a human cell different to the functions of a computer?

### advance functions gr12

Using rational functions solve (7+ 1)/x = 1/(x-2)

### linear algebra

Let V be the set of all real-valued continuous functions defined on R1. If f and g are in V, we define f ⊕ g by (f ⊕ g)(t) = f(t) + g(t). If f is in V and c is a scalar, we define c f by (c f)(t) = cf(t). Then V is a vector space, which is denoted by C(−&#...

### algebra

Below are the functions of y=|x| and y=|x|-5. how are the functions related? A. the functions have the same shape. the y-intercept of y=|x| is 0 and the y-intercept of the second function is 5 B. the functions have the same y-intercept. the second function is steeper than y=|x...

### math test

Hi! I have a math test coming up tomorrow, and I need to prepare. but,i don't know how I should. . . any help would be great. she told us to: Be prepared to identify and explain functions, linear functions and proportional functions. Be prepared to use the new function ...

### Math - Functions

For the real valued functions f(x) - |x| - 4 and g(x) = sqrt(5 - x) Find the composition of f o g and the domain in interval notation. Can someone help me solve this?

### calculus

give 3 examples of functions from everyday life that are described verbally.what can you say about the domain and range of each of your functions?

### calculus

give 3 examples of functions from everyday life that are described verbally.what can you say about the domain and range of each of your functions?

### Math - Functions

Is it possible to graph linear functions like h(x) = 3x + 7 without doing a table of values? If it is, how? And I know the slope is 7, which means the y-intercept is (0,7).

### Medical Seekers

Health Care providers use computers to perform many functions. Identify at least 4 of those functions!

### Solving trig functions! urgent please help!

1.2sinxtanx + tanx-2sinx-1=0 2.6tan^2x-4sin^2x=1 Both functions is for 0<x<2pi thank you!

### cjs/210

Will someone please help me find a website to find the answer to the following questions? What are the various functions of a police agency? Compare how the functions of a police agency differ at the federal, state, and local levels. What would happen if the various functions ...

### Math

Use the functions f(x)=x+4 and g(x)=2x-5 to find the specified functions. (g x f)^-1

### Functions

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.

### math

for the given functions f and g, find the specified value of the following functions and state their domains: f(x)=x-5; g(x)=2x^2 a.(f+g)(3)= b.(f/g)(3)= Can someone help me figure this out? pleeeease????

### Math

Help me for this question on composite functions Does the composition of functions display the commutative property? Give an example of each case to illustrate your answer.

### Functions

Please I need help with this algebra problem With the 3 equations f1(x)=0 f2(x)=1/8(x+16)^2-98 f3(x)=2x+24 Determine an equation for this function with the 3 pieces above.(Refer to creating the polynomial functions)

### Functions

Please I need help with this algebra problem With the 3 equations f1(x)=0 f2(x)=1/8(x+16)^2-98 f3(x)=2x+24 Determine an equation for this function with the 3 pieces above.(Refer to creating the polynomial functions)

### Algebra 2 Functions

Use these functions: f(x)=3x-2 g(x)=2 h(x)=4x 1. What is f(g(x))? 2. What is g(18)? 3. Find h(5).

### functions

pls. explain transformations on functions..

### Algebra

below are the functions of Y=|x| and y=|x| -9 how are the functions related

### 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 ...

### Consider the functions

Consider the functions f(x)= 5x+4/x+3(This is a fraction) and g(x)= 3x-4/5-x(This is a fraction) a)Find f(g(x)) b)Find g(f(x)) c)Determine whether the functions f and g are inverses of each other.

### calculus

when working with composite functions, does fog=gof? how do i create two functions,f(x) and g(x) to show that this statement is either true or false.i need to explain my reasoning

### Math Grade 12 Advance Functions

I need help understanding equivalent trigonometric functions! Can someone PLEASE help me because the test is tommorrow and the internet or my textbook isn't helping at all!

### math

for the given functions f and g, find the specified value of the following functions and state the domain of each one. f(x)=2+3/x; g(x)=3/x a.(f-g)(2)= b.(f/g)(3)= how do I do this? I need help! it throws me off because of it being in fraction form.

### math

let V be the set of all real-valued continuous functions defined on R1. If f and g are in V, we define f ¨’ g by (f ¨’ g)(t) = f(t) + g(t). If f is in V and c is a scalar, we define c f by (c f)(t) = cf(t). Then V is a vector space, which is denoted by C(−...

### FUNCTIONS HELPPPPP????

Please I need help with this algebra problem With the 3 equations f1(x)=0 f2(x)=1/8(x+16)^2-98 f3(x)=2x+24 Determine an equation for this function with the 3 pieces above.(Refer to creating the polynomial functions) I do not know how does everyone get this answer g(x) = f2(x)-...

### Algebra

Right now we are learning about functions, relations, etc. and I am kind of confused. Here is what I have to answer: Determine whether each of the following is a function. Identify any relations that are not functions. Domain A set of avenues Correspondence An intersecting ...

### Algebra 2

Which statements represent the relationship between y=2x and y=log2x ? Select each correct answer. The equation y=log2x is the logarithmic form of y=2x . <my choice The graphs of the functions are symmetric to each other over the line y = x. The graphs of the...

### 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 + ...

### Statistics

If Y1 is a continuous random variable with a uniform distribution of (0,1) And Y2 is a continuous random variable with a uniform distribution of (0,Y1) Find the joint distribution density function of the two variables. Obviously, we know the marginal density functions of each ...

### Math

Can anyone tell me if these functions are odd, even, or neither. Also, what is the domain, range, x-intercept, and y-intercept of these functions? 1. f(x) = x^2 - 3x + 6 2. f(x) = cubicroot(x)

### Algebra 2

Are the functions f and g inverse functions if f(x)=5/3x+1 and g(x)=3(x-1)/5? I need all of the steps on how to determine this. I need this ASAP because this assignment is due tomorrow. Thanks

### Math

1) Find three functions with unlimited domains and ranges. 2) Find two functions with restricted domains. 3) Find two functions with restricted ranges. Im confused as to how I can find the answer for these question, can you please explain along the steps.

### 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

### College Algebra! help!

Consider the following functions f(x)= (7x+8)/(x+3) and g(x)= (3x-8)/(7-x) (a) Find g(g(x)) (b) Find g(f(x)) (c) Determine whether the functions f and g are inverses of each other.

### algebra functions 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

### math

consider the functions f(x)=2x-8 and g(x)=x/2+4 (a) Find f(g(x)). (b) Find g(f(x)). (c) Determine whether the functions f and g are inverses of each other (a) What is f(g(x))? Simplify your answer

### Math - Inverse Functions

Find the inverses of the following functions. y = 3(x - 1)^2, x >= 1 Work: x = 3(y - 1)^2 x = 3(y - 1)(y - 1) x = 3(y^2 - y - y + 1) x = 3y^2 - 6y + 3 And now what do I do!? Please explain and show me how to solve this inverse function! ... Thank you

### Math (Grade 12)

I need help with this problem (composite functions): If f(x) = 4x-3 and h(x )= 4x^2-21, find a function g such that f(g(x)) = h. I don't understand how we're supposed to combine the functions. Oh, and the answer is supposed to be g(x) = x^2 - (9/2). Thanks!

### marketing

Discuss the universal functions of marketing and those functions that would apply to the products/services provided by a fictitious firm of your choosing.

### Marketing

Discuss the universal functions of marketing and those functions that would apply to the products/services provided by a fictitious firm of your choosing.

### math

consider the functions f(x)=x^3-2 and g(x)=3 sqrt x+2: a. find f(g(x)) b. find g(f(x)) c. determine whether the functions f and g are inverse of each other. I have no clue where to even begin!

### pre calculus

consider the functions f(x)=x^3-3 and g(x)=3 sqrt x+3: a. find f(g(x)) b. find g(f(x)) c. determine whether the functions f and g are inverses of each other. I really need help with these, I don't get it at all.

### economics

Let U(x; y) = 5x:8y:2 showing all derivation work, find: (a) the Marshallian demand functions for x and y (b) the Indirect Utility Function (c) the compensated demand functions xc and yc

### Math advance functions gr 12

Using rational functions solve 7+ 1(numerator) x (denominator) = 1 (numerator) x-2(demominator)

### advance functions gr 12

Using rational functions solve 3(numerator) 2x-4 (denominator) < (with a "-" underneath) 4 (numerator) x-2(demominator)

### Pre-Calculus

I transfered classes and they use graphing calculators. I've never used the graphing functions on mine. We were supposed to graph exponetial functions. Help?

### math-advanced functions

on my exam review, i have this question for composition of functions Given f(x)=3x^2+x-1, g(x)=2cos(x), determine the values of x when f(g(x))=1 for 0≤x≤2π.

### Math

Has anyone taken the colorado connections academy Unit 13: Functions Test Unit 5: Functions, within the past day? I need someone to check my answers

### Functions of f(x)

Given the two functions f(x)and g(x)‚0 for all x, explain how to find (f+g)(x),(f-g)(x),(f*g)(x), and (f€g)(x).Demonstrate examples for all: f(x)=(-x)/(6)-3(5+3x)/(8)-3x f(0)=-15/8

### advance functions gr 12

Using rational functions solve x+5(numerator) x-3 (denominator) = 2x+7 (numerator) x(demominator)

### advance functions gr 12

Using rational functions solve x+5(numerator) x-3 (denominator) = 2x+7 (numerator) x(demominator)

### advance functions gr 12

Using rational functions solve 7+ 1(numerator) x (denominator) = 1 (numerator) x-2(demominator)

### Math

What are the similarities and differences between functions and linear equations? How do you graph functions on a coordinate plane? Is there an instance when a linear equation is not a function? Provide an example. Write a function for your classmates to graph. Consider ...

### Math

What are the similarities and differences between functions and linear equations? How do you graph functions on a coordinate plane? Is there an instance when a linear equation is not a function? Provide an example. Write a function for your classmates to graph. Consider ...

### math

which statement about linear functions are true A)linear functions grow by equal factors over equal intervals B)linear functions grow by equal differences over equal intervals C)linear functions grow by equal differences over unequal intervals D)linear functions grow by ...

### Function compostions

Sorry I had to repost, I left somethings out. Can you please check my answers? For the given functions f and g, find the indicated composition. 5. f(x)=7x+9, g(x)=2x-1 Find (f *g)(x) I got 14x+2 For the given functions f and g, find the indicated composition. 8. f(x)=-5x+3, g(...

### Mat101

5. Which of the following are functions? The last two problems, i.e., b & c, are multi part relations consider all parts when determining whether or not these relations are functions. Explain your reasoning for a, b, and c. a. f(x) = x + 3 b. f(x) = 73 if x>2 otherwise f(x...

### Algebra

What similarities and differences do you see between functions and linear equations studied in Ch. 3? Are all linear equations functions? Is there an instance when a linear equation is not a function? Support your answer. Create an equation of a linear function and provide two...

### MAT 101

5. Which of the following are functions? The last two problems, i.e., b & c, are multi part relations consider all parts when determining whether or not these relations are functions. Explain your reasoning for a, b, and c. a. f(x) = x + 3 b. f(x) = 73 if x>2 otherwise f(x...

### functions (easy explanation)

I have a very quick question about exponential functions. I know how to use them and apply them but I don't know how to explain why they are always positive. Does anyone know why? An example of an exponential function would be 5 to the power of x. Thank you!

### Algebra

What similarities and differences do you see between functions and linear equations? Are all linear equations functions? Is there an instance when a linear equation is not a function? Support your answer. Create an equation of a nonlinear function and provide two inputs for ...

### Education/Technology

Syllabi, class outlines, and discipline reports are practical applications of A) systems procedures. B) spreadsheet functions. C) database functions. D) word processing packages. I answer is C, it sounds where all three of these would be, is this correct?

### Algebra Functions

I cannot for the life of me remember how to do this- Find the vertex of the graphs of the functions: Function #1: y=(x-4)(x+2) AND Function #2: y=2x^2-4x+1 Can someone help me get it PLz! OK - to find the vertex of these functions you must have them in quadratic form where the...

### m240

All rational functions can be expressed as f(x) = p(x)/q(x), where p and q are __________ functions and q(x) ≠ 0. A. horizontal asymptotes B. polynomial C. vertical asymptotes D. slant asymptotes My answer is B is this correct.

### pre-cal

for the given functions f & g find the specified value of the following functions and state the domain of each one. f(x)=2+6/x; (g)x 6/x a. (f-g)(3)= what is the domain of f-g? b. (f/g)(6)= what si the domain of f/g?