If f(x) = sgnx and g(x) = x (1– x 2 ) then check continuity… | CGP Edu

Maths Functions, Limits, Continuity and Differentiability General Subjective Type

Published by: CGP EDU Academic Team

Published on: August 14, 2026

If f(x) = sgnx and g(x) = x (1– x 2 ) then check continuity of gof and fog.

Text Solution

Verified by Experts

The correct answer is:

CHECK THE SOLUTION.

Sol. gof is continuous everywhere but fog is discontinuous at x = 1, – 1, 0

Previous Question Next Question

Prepare Smarter with CGP Edu

Get practice questions, solutions, and test series in one place.

Write a Review

Share your experience with this question and solution.

Commentary

Send your comment, doubt, correction, or feedback to admin.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems

The function , where assumes its minimum value only at one point, if . Find .

2. If be two fixed positive integers such that for all real , then is a periodic function with …

3. The domain of the function , where the symbols have their usual meanings, is the set . Find nu…

If , then . Find .

, then is equal to . Find .

Let and be the roots of , then is equal to Find .

CG

CGP Question Assistant Question Bank + AI Help

Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.

Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.