Find the inverse function of f(x) = x4 , x ≥ 0, (a) graph f and f−1 on the same set of coordinate axes, (b) describe the relationship between the graphs, and (c) state the domains and ranges of f and f−1 .
Find the inverse function of f(x) = x4 , x ≥ 0, (a) graph f and f−1 on the same set of coordinate axes, (b) describe the relationship between the graphs, and (c) state the domains and ranges of f and f−1 .
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.CR: Chapter Review
Problem 89E
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Find the inverse function of f(x) = x4 , x ≥ 0, (a) graph f and f−1 on the same set of coordinate axes, (b) describe the relationship between the graphs, and (c) state the domains and ranges of f and f−1 .
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Step 1
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Given,
Part a:
Let
Now apply on both sides,
We get,
Step 2
The graph of the functions is,
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