Let f: R → → R be any function. Define g : R → → R by g(x) …

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

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Let f: R → → R be any function. Define g : R → → R by g(x)

= |f(x)| for all x. Then g is (2000 S)

Onto if f is onto

One-one if f is one-one

Continuous if f is continuous

Differentiable if f is differentiable.

Text Solution

Verified by Experts

The correct answer is:

Let h (x) = |x| then g(x) |f(x)| = h)(f(x))

Since composition of two continuous function is continuous, g is continuous if f is continuous.

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