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Chapter 5: Q59. (page 257)

Iff(x)=2x3-3x2=4x-1andg(x)=2find(f∘g)(x)and(g∘f)(x).

Short Answer

Expert verified

The value of(fog)(x)=11and(gof)(x)=2.

Step by step solution

01

Step 1. Given information.

The given function
and

02

Step 2. The composite function(f∘g)x=f(g(x)).Substitute g(x)=2 inf(g(x)).

03

Step 3. The composite function (g∘f)x=g(f(x))

g(2x3-3x2+4x-1)=2

Thus,(g∘f)(x)=2

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Answers are given at the end of these exercises. If you get a wrong answer, read the pages listed in red.

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