For A = [–1, 1] which of the following function(s) f : A → …

Maths Functions, Limits, Continuity and Differentiability Functions Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

For A = [–1, 1] which of the following function(s) f : A → → A are invertible:

f(x) = x/2

g(x) = sin ( π π x/2)

h(x) = |x|

k(x) = x 2

Text Solution

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The correct answer is:

Clearly ‘C’ and ‘D’ are ruled out as these are many-one. Also f(x) = x/2 is one-one but not on-to. g(x) = sin( π π x/2) is both one-one and onto

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