For f(x)=√x and g(x)=x-4, find the following functions. a. (fog)(x); b. (gof)(x); c. (fog)(5); d. (gof)(5) a. (fog)(x) = (Simplify your answer.) b. (gof)(x) = (Simplify your answer.) c. (fog)(5)= (Simplify your answer.) d. (gof)(5)= (Simplify your answer.)
For f(x)=√x and g(x)=x-4, find the following functions. a. (fog)(x); b. (gof)(x); c. (fog)(5); d. (gof)(5) a. (fog)(x) = (Simplify your answer.) b. (gof)(x) = (Simplify your answer.) c. (fog)(5)= (Simplify your answer.) d. (gof)(5)= (Simplify your answer.)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.5: Functions
Problem 9ECP
Related questions
Question
![### Composition of Functions Exercise
Given the functions \(f(x) = \sqrt[4]{x}\) and \(g(x) = x - 4\), find the following compositions of functions:
#### a. \((f \circ g)(x)\)
#### b. \((g \circ f)(x)\)
#### c. \((f \circ g)(5)\)
#### d. \((g \circ f)(5)\)
----------
1. **a. \((f \circ g)(x) = \)**
(Simplify your answer.)
2. **b. \((g \circ f)(x) = \)**
(Simplify your answer.)
3. **c. \((f \circ g)(5) = \)**
(Simplify your answer.)
4. **d. \((g \circ f)(5) = \)**
(Simplify your answer.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fffc517a8-8d25-4dba-b5b9-bbe3039266d7%2Fe78b280a-0787-42a6-a740-59636e01f5cf%2Fxvtzn2n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Composition of Functions Exercise
Given the functions \(f(x) = \sqrt[4]{x}\) and \(g(x) = x - 4\), find the following compositions of functions:
#### a. \((f \circ g)(x)\)
#### b. \((g \circ f)(x)\)
#### c. \((f \circ g)(5)\)
#### d. \((g \circ f)(5)\)
----------
1. **a. \((f \circ g)(x) = \)**
(Simplify your answer.)
2. **b. \((g \circ f)(x) = \)**
(Simplify your answer.)
3. **c. \((f \circ g)(5) = \)**
(Simplify your answer.)
4. **d. \((g \circ f)(5) = \)**
(Simplify your answer.)
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