7. Show that g: R → R defined by g(x) = (x+3)³. (a) Prove that g is bijective. (b) Find the inverse g-¹ of g.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 59E
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7. Show that g: R → R defined by g(x) = (x+3)³.
(a) Prove that g is bijective.
(b) Find the inverse g-¹ of g.
Transcribed Image Text:7. Show that g: R → R defined by g(x) = (x+3)³. (a) Prove that g is bijective. (b) Find the inverse g-¹ of g.
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