a. Show that ƒ(x) = x3 and g(x) = x 1/3are inverses of one another.  b. Graph ƒ and g over an x-interval large enough to show the graphs intersecting at (1, 1) and (-1, -1). Be sure the picture shows the required symmetry in the line y = x.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 56E
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a. Show that ƒ(x) = x3 and g(x) = x 1/3are inverses of one another. 

b. Graph ƒ and g over an x-interval large enough to show the graphs intersecting at (1, 1) and (-1, -1). Be sure the picture shows the required symmetry in the line y = x.

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