   Chapter 1.5, Problem 32E ### 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 g ( x ) = 1 − x 3 3 .(a) Find g−1. How is it related to g?(b) Graph g. How do you explain your answer to part (a)?

(a)

To determine

To find: The inverse of the function g(x)=1x33 ; how g1 is related to g.

Explanation

Let the given function as y=(1x3)13 .

Solve this equation for x as follows.

y3=1x31y3=x3x=1y33

(b)

To determine

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

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