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(2) Determine if given expression is a function. If so, find out if it is one to one, onto or bijection. Determine the inverse function in case of bijection. (a) Given f: Z→ R, f(x) = 41 (b) Given f : R→ R , f(x) = -3|a| +4. (c) Given f: [1, +o[→ R*, f(x) = x2 - 2x + 1.

(2) Determine if given expression is a function. If so, find out if it is one to one, onto or bijection. Determine the inverse function in case of bijection. (a) Given f: Z→ R, f(x) = 41 (b) Given f : R→ R , f(x) = -3|a| +4. (c) Given f: [1, +o[→ R*, f(x) = x2 - 2x + 1.

Algebra & Trigonometry with Analytic Geometry
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
(2) Determine if given expression is a function. If so, find out if it is one to one, onto or bijection. Determine the inverse function in case of bijection. (a) Given f: Z → R, f(x) = 41 Ja-2| (b) Given f : R→ R, f(x) = -3|a|+4. (c) Given f: [1, +oo(→ R+, f(x) = x² – 2x +1.
Transcribed Image Text:(2) Determine if given expression is a function. If so, find out if it is one to one, onto or bijection. Determine the inverse function in case of bijection. (a) Given f: Z → R, f(x) = 41 Ja-2| (b) Given f : R→ R, f(x) = -3|a|+4. (c) Given f: [1, +oo(→ R+, f(x) = x² – 2x +1.
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