Which of the following functions has an inverse? Question 5 options: f: Z → Z, where f(n) = [n/31 +1 f: Z → Z, where f(n) = |n + 2| f: R → R, where f(x) = x² + 2 f: R → R, where f(x) = x³ + 1 Which of the following functions is a one-to-one function? Question 1 options: f: R → R, where f(x) = 6x² - 2 f: Z → Z, where f(n) = 2n¹ + 7 f: Z → Z, where f(n) = 2n² + 1 f: Z → Z, where f(n) = 3n + 7

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Which of the following functions has an inverse?
Question 5 options:
f: Z → Z, where f(n) = [n/31 +1
f: Z → Z, where f(n) = |n + 2|
f: R → R, where f(x) = x² + 2
f: R → R, where f(x) = x³ + 1
Which of the following functions is a one-to-one
function?
Question 1 options:
f: RR, where f(x)
=
6x² - 2
f: ZZ, where f(n) = 2n¹ + 7
f: Z→ Z, where f(n) = 2n² + 1
f: Z → Z, where f(n) = 3n + 7
Transcribed Image Text:Which of the following functions has an inverse? Question 5 options: f: Z → Z, where f(n) = [n/31 +1 f: Z → Z, where f(n) = |n + 2| f: R → R, where f(x) = x² + 2 f: R → R, where f(x) = x³ + 1 Which of the following functions is a one-to-one function? Question 1 options: f: RR, where f(x) = 6x² - 2 f: ZZ, where f(n) = 2n¹ + 7 f: Z→ Z, where f(n) = 2n² + 1 f: Z → Z, where f(n) = 3n + 7
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