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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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Chapter
Section
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

Find fgh.

40. f(x) = |x – 4|, g(x) = 2x, h ( x ) = x

To determine

To find: The function fgh.

Explanation

Given:

The functions are f(x)=|x4|,g(x)=2x,h(x)=x.

Definition used:

Let f and g be two functions. Then their composition fg is defined as fg=f(g(x)).

Calculation:

The composite function (fgh)(x) is defined as follows.

(fgh)(x)=f(gh)(x)

First find the composite function (gh)(x).

The composite function (gh)(x) is defined as follows.

(gh)(x)=g(h(x))

Substitute x for x in g(x)

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