   Chapter 1.5, Problem 31E ### 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 2 , 0 ≤ x ≤ 1 .(a) Find f−1. How is it related to f?(b) Identify the graph of f and explain your answer to part (a).

(a)

To determine

To find: The inverse of the function f(x)=1x2,0x1 ; how f1 is related to f.

Explanation

Let the given function as y=1x2 .

Solve this equation for x as follows.

y=1x2y2=1x21y2=x2x=±1y2

Interchange x and y and obtain the inverse function, y=±1x2

(b)

To determine

To identify: The graph of f and relate the answer with part (a).

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