Composition of Functions

Welcome to the Composition of Functions category on Questions LLC! Whether you are a math enthusiast or a student seeking clarity on this topic, you've come to the right place. This category is designed to help you understand and explore the concept of composition of functions, a fundamental concept in mathematics. Here, you will find a wide range of questions, explanations, and discussions about composing functions, understanding their properties, and working through examples. So, dive in, ask questions, and uncover the intriguing world of composition of functions with our knowledgeable community!

Questions (283)

For the 2 functions, f(x) and g(x), tables of values are shown below. What is the value of g(f(3))?x f(x) x g(x) -------
1. 5 answers
2. asked by Joe
3. 4,996 views
What translation rule can be used to describe the result of the composition of (x, y) (x – 9, y – 2) and (x, y) (x + 1, y
1. 9 answers
2. asked by Cindy
3. 7,995 views
Composition of FunctionsIf f(x) = 2x+1 find A. f o f(x) f(f(x)) = f(2x+1) f(2x+1) = 2(2x+1) f(f(x)) = 4x +2 B. f o f o f o f(x)
1. 4 answers
2. asked by Shreya
3. 2,445 views
Let f(x)=x^2+5 and g(x)=x+5/x. Find (g°f)(-3)
1. 10 answers
2. asked by slayrat
3. 69 views
Let f(x) = x + 4 and h(x) = 4x - 1Find a function "g" such that "g compose of f equals to h" g(f(x) = h g(f) = h g(x + 4) = 4x -
1. 3 answers
2. asked by Anonymous
3. 1,544 views
Let f(x) = x^2 + 5 and g(x) = x+5/x. Find (g o f)(-3)
1. 1 answer
2. asked by skittlez
3. 52 views
(f•g)(10)
1. 4 answers
2. asked by Kat
3. 60 views
Given: F(x) = 2x + 5 and g(x) = x^2 and h(x) = -2xH(g(f(x))) = ?
1. 4 answers
2. asked by hi
3. 45 views
Let lower f left parenthesis x right parenthesis equals Start Fraction Start Root x plus 1 End Root over 3 End Fraction and
1. 19 answers
2. asked anonymously
3. 64 views
Evaluate tan (arccsc-1)Make sure you show all of the steps needed for evaluating the above composition. No decimals. Give exact
1. 1 answer
2. asked by high school
3. 84 views
The number N of bacteria in a refrigerated food is given byN(T) = 10T2 − 20T + 700, 1 ¡Ü T ¡Ü 20where T is the temperature
1. 4 answers
2. asked by Kristi
3. 3,228 views
Express the function in the form f o g. (Use non-identity functions for f and g.)G(x)= cube root of (x/(9+x)) {f(x),g(x)}=?
1. 4 answers
2. asked by TayB
3. 10,899 views
Express the function in the form f ∘ g ∘ h. (Use non-identity functions for f, g, and h.)H(x) = 9 - 5^x^2 {f(x), g(x), h(x)}
1. 4 answers
2. asked by Miguel
3. 9,526 views
Consider the functionsf(x)=2x+8/x+6; g(x)=6x-8/2-x Find f(g(x)) Find g(f(x)) Deterrmine if f and g are inverses of each other.
1. 2 answers
2. asked by anonymous
3. 1,213 views
Suppose f is an even function and g is an odd function such that the composition fog is defined.d show that fog is an even
1. 2 answers
2. asked by Fatima
3. 845 views
Sorry I had to repost, I left somethings out.Can you please check my answers? For the given functions f and g, find the
1. 3 answers
2. asked by Soly
3. 1,408 views
In the mail, you receive a coupon for $5 off of a pair of jeans. When you arrive at the store, you find that all jeans are 25%
1. 2 answers
2. asked by Anon
3. 669 views
Find functions f and g so that h(x) = (f ∘ g)(x).h(x) = (6x - 14)8
1. 4 answers
2. asked by Ciara
3. 7,635 views
Find (f*g)(x) and its domain when f(x)=x^2+9 and g(x)= sqrt x+3A. (f·g)(x)=x+12; (-∞,∞) B. (f·g)(x)=√x^2+12; (-∞,∞)
1. 4 answers
2. asked by Tay
3. 1,954 views
Express the function h(x)=1/x+5 in the form f(g(x)), where g(x)=(x+5), andf(x)= Please help immediately!!!:(
1. 4 answers
2. asked by Andrea
3. 3,222 views
rewrite the following expression as an algebraic expression in x: cos(arcsin x)I have made X to be X/1 but from there I am lost.
1. 3 answers
2. asked by George
3. 766 views
Given the functions f(x) = 2x + 1 and g(x) = x - 3, determine an equation for (f ∘ g)(x) and (g ∘ f)(x).Determine f(g(5))
1. 4 answers
2. asked by Lauren
3. 1,056 views
For the functions f(x)=x/x+3and g(x)=7/x, find the composition (f∘g)(x) and simplify your answer as much as possible. Write
1. 4 answers
2. asked by Anonymous
3. 1,427 views
If P(x)=4+2sqrt(x+2) and G(x)=4-3X, then what is the largest constant such that P(G(a)) is defined? Thank you!
1. 4 answers
2. asked by Trish Goal
3. 1,426 views
Express the function in the formf ∘ g. (Use non-identity functions for f and g.) u(t) = tan(t)/ 4 + tan(t)
1. 3 answers
2. asked by Jacob
3. 2,915 views
Use the functions f(x)=1/8x-3 andg(x)=x^3 to find the indicated value or function. (g^-1 X f^-1)(-3)
1. 3 answers
2. asked by Dan
3. 1,227 views
Consider the function h as defined. Find functions f and g so(f o g)(x)=h(x) h(x)=8/x^2+10 I think it is: h(x)=8/x^2+10
1. 4 answers
2. asked by Megan
3. 1,947 views
f(x) = 4x-5 and g(x) = 3x, find (fog)(x)
1. 4 answers
2. asked by cris
3. 5,710 views
1. Find the domain of the composite function f o g. f(x)= 2/x-3; g(x)= 7/x2. Solve the following exponential equation. Exact
1. 3 answers
2. asked by Kameesha
3. 1,117 views
The number of pounds of apples a cannery can process and the processing cost are P(h) = 375h and C(n) = 0.35n + 1000 where P(h)
1. 3 answers
2. asked by stacy
3. 631 views
Let f(x)=SQRT X+1 and g(x)=3x−5. Find f∘g and g∘f, and their respective domains.What is the domain of f∘g ? Answer (in
1. 3 answers
2. asked by lyla
3. 1,119 views
Find f(g(x)) and g(f(x)). State the domain and formula for each.f(x)=7x+8; g(x)=x-3 Thank you!!
1. 2 answers
2. asked by Jessica
3. 1,209 views
Find (f∘g)(x).f(x)=3x+6 g(x)=2x2 Write your answer as a polynomial in simplest form. (f∘g)(x)=
1. 3 answers
2. asked anonymously
3. 47 views
Find (f∘g)(x).f(x)=6x+2 g(x)=2x2 Write your answer as a polynomial in simplest form. (f∘g)(x)=
1. 3 answers
2. asked anonymously
3. 36 views
Find (f∘g)(x).f(x)=x2 g(x)= – 5x–3 Write your answer as a polynomial in simplest form. (f∘g)(x)=
1. 3 answers
2. asked anonymously
3. 40 views
Find (f∘g)(x).f(x)=3x+1 g(x)=5x Write your answer as a polynomial in simplest form. (f∘g)(x)=
1. 3 answers
2. asked anonymously
3. 42 views
f(x)=3x-7 and g(X)=-2x-6. Find (f o g)(4)
1. 4 answers
2. asked by Jasmine
3. 1,383 views
1.) If h(x)= (fog)(x) and h(x) = 3 over the square root of x+3 , find g(x) if f(x)= 3 over the square root of x+2.my answer is
1. 4 answers
2. asked by Leo
3. 1,178 views
Help me for this question on composite functionsDoes the composition of functions display the commutative property? Give an
1. 3 answers
2. asked by Chris
3. 2,336 views
Let f(x) = -2x - 7 and g(x) = -4x + 3. Find (f o g)(-5)A. -9 B. 3 C. 23 D. -53 could you help me with this one? Would it
1. 2 answers
2. asked by Alexa
3. 501 views
Express the function in the formf compose g. (Use non-identity functions for f and g.) u(t) = cot t/(9+cot t) {f(t), g(t)}=?
1. 3 answers
2. asked by TayB
3. 4,011 views
The number of pounds of apples a cannery can produce and the processing cost are P(h) = 375h and C(n) = 0.35n + 1000 where P(h)
1. 2 answers
2. asked by Tori
3. 567 views
Consider the following table of values for real valued functions f(x) and g(x).x 1 2 3 4 f(x) 3 1 4 2 g(x) 4 1 3 5 Find f o g(1)
1. 2 answers
2. asked by Joy
3. 707 views
2.)If f(x)=3x,g(x)=x-3,and h(x)= the square root of x, find (fogox)(X). I really didn't get this will someone please show me how
1. 2 answers
2. asked by Leo
3. 492 views
consider the function f(x)=9/x and g(x)=9/xfind f(g)x))and any values that may be excluded what is g(f(x)) and any values that
1. 2 answers
2. asked by ALLI
3. 912 views
if f(x)=lnx, g(x)=e^3x, and h(x)=x^4 find followingA)(f of g)(x)and the domain of f of g B) (g of f)(x) and the domain of g of f
1. 3 answers
2. asked by ALLI
3. 395 views
For the function f(x)=5e^x and g(x)=x^5, find the following:(a) f(g(1))= (b) g(f(1))= (c) f(g(x))= (d) g(f(x))= (e) f(t)g(t)=
1. 4 answers
2. asked by jacob
3. 889 views
3) Given  3 1 2 f x  x  , find gf x and f gx using each function gx below. a)  
1. 2 answers
2. asked anonymously
3. 21 views
Findf gx and gf x for each of the following pairs of functions. a) f x  3x  4 ; gx 
1. 2 answers
2. asked anonymously
3. 22 views
Find each of the following functions.f(x) = x2 − 3, g(x) = 5x + 2 (a) f compose g State the domain of the function. (Enter
1. 2 answers
2. asked by Breauna
3. 888 views

Composition of Functions

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