3. Let A == 1 {x Rx < 0}, B = {x E RO < x < 1} and f: A B be defined by 1+2 f(x) = Show that f is one-to-one and onto. Find the inverse of the function f. 4. Let g: ZZ, g(x) = 2x² + 7x. Is gone to one? Is g onto? Show your work.

3. Let A == 1 {x Rx < 0}, B = {x E RO < x < 1} and f: A B be defined by 1+2 f(x) = Show that f is one-to-one and onto. Find the inverse of the function f. 4. Let g: ZZ, g(x) = 2x² + 7x. Is gone to one? Is g onto? Show your work.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.1: Inverse Functions

Problem 55E

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Question

Discrete Mathmatics

3. Let A ==
1
{x Rx < 0}, B = {x E RO < x < 1} and f: A B be defined by
1+2
f(x)
=
Show that f is one-to-one and onto. Find the inverse of the function f.
4. Let g: ZZ, g(x) = 2x² + 7x. Is gone to one? Is g onto? Show your work.

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