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
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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.
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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