(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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2696b353-5a9e-4cfc-8df4-b02e1b65cc4c%2F52c350ce-c060-492e-a78a-8e084b13d8fa%2Fenrtpz_processed.jpeg&w=3840&q=75)
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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