4. Let D R {-2}, let RR {3}, and let f: DR be defined by a. Prove that f is a bijection. 3x-5 f(x)= = x+2 b. Find an algebraic expression for the inverse function f¹: R→ D.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 57E
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4. Let D=R-{-2}, let R=R {3}, and let f: D→ R be defined by
a. Prove that f is a bijection.
3x-5
f(x)=
=
x+2
b. Find an algebraic expression for the inverse function f¹: R→ D.
Transcribed Image Text:4. Let D=R-{-2}, let R=R {3}, and let f: D→ R be defined by a. Prove that f is a bijection. 3x-5 f(x)= = x+2 b. Find an algebraic expression for the inverse function f¹: R→ D.
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