   Chapter 2.5, Problem 48E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# Let f ( x ) = 1 / x   and   g ( x ) = 1 / x 2 . (a) Find (f ◦ g)(x).(b) Is f ◦ g continuous everywhere? Explain.

(a)

To determine

To find: The value of (fg)(x).

Explanation

Calculation:

Let f(x)=1x and g(x)=1x2.

Consider the composition function (fg)(x)=f(g(x)).

This implies that,

(fg)(x)

(b)

To determine

The composite function (fg)(x) is continuous everywhere or not.

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