Let f: (e, ∞ ) → R be defined by f(x) =  n (  n(  n x)),…

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

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Let f: (e, ∞ ) → R be defined by f(x) =  n (  n(  n x)), then

f is one one but not onto

f is onto but not one - one

f is one-one and onto

f is neither one-one nor onto

Text Solution

Verified by Experts

The correct answer is:

f : (e, ∞ ) → R ⇒ f(x) =  n(  n(  n x))

D :  n(  n x) > 0 or  nx > 1 or x > e

R : (– ∞ , ∞ ) ⇒ one-one and onto function

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