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Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640
Textbook Problem

In Exercises 31-34, evaluate h(2), where h = gf.

34. f ( x ) = 1 x 1 ; g ( x ) = x 2 + 1

To determine

The value of the function h(2).

Explanation

Given:

The function f(x)=1x1, g(x)=x2+1 and h=gf.

Calculation:

Let f and g be functions, then the composition of function is defined by,

(gf)(x)=g(f(x)) (1)

Substitute 1x1 for x in g(x) and h(x) for gf to evaluate the value of h(x)

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