Define the function f: R→ R by f(x) = x5 – 1, Vx € R. a) Prove that f is onto? b) Prove that f is one-to-one? c) Explain why f-¹(x) exists? What is f-¹(x)?
Define the function f: R→ R by f(x) = x5 – 1, Vx € R. a) Prove that f is onto? b) Prove that f is one-to-one? c) Explain why f-¹(x) exists? What is f-¹(x)?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 12E
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