Given two functions f(x)=6-6x and g(x)=2+2x. Find the composition of two functions. f(g(7))= f(g(2))= g(f(4))= g(f(0))=
Given two functions f(x)=6-6x and g(x)=2+2x. Find the composition of two functions. f(g(7))= f(g(2))= g(f(4))= g(f(0))=
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Given two functions f(x)=6-6x and g(x)=2+2x. Find the composition of two functions.
![**Composition of Functions**
Given two functions:
- \( f(x) = 6 - 6x \)
- \( g(x) = 2 + 2x \)
Find the composition of the two functions.
**Calculations:**
- \( f(g(7)) = \) [Enter your answer here]
- \( f(g(2)) = \) [Enter your answer here]
- \( g(f(4)) = \) [Enter your answer here]
- \( g(f(0)) = \) [Enter your answer here]
**Instructions:**
To solve these problems, substitute the inner function into the outer function and simplify.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F39c0ed26-a619-4aec-bfc7-2f7cabbef55a%2F93760c50-c155-497f-abae-b1feb7b9532d%2Fjciynlh_processed.png&w=3840&q=75)
Transcribed Image Text:**Composition of Functions**
Given two functions:
- \( f(x) = 6 - 6x \)
- \( g(x) = 2 + 2x \)
Find the composition of the two functions.
**Calculations:**
- \( f(g(7)) = \) [Enter your answer here]
- \( f(g(2)) = \) [Enter your answer here]
- \( g(f(4)) = \) [Enter your answer here]
- \( g(f(0)) = \) [Enter your answer here]
**Instructions:**
To solve these problems, substitute the inner function into the outer function and simplify.
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