If f: (0, ) (0, )and , then /is

Maths Functions, Limits, Continuity and Differentiability NTA Abhiyas Question - Function Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 12, 2026

one-one and onto

one-one but not onto

onto but not one-one

neither one-one nor onto

Text Solution

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The correct answer is:

Here, , i.e. domain is (0, ) and codomain is (0, ).

For one-one,

is increasing in its domain. Thus, is one-one in its domain.

For onto (we find range)

i.e., Range Codomain

f (x) is one-one but not onto.

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