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Mathematics · JEE

Inverse functions Concepts for JEE

2+ syllabus-aligned questions available

Quick answer

Master Inverse functions by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.

Build clear conceptual foundations for Inverse functions before speed practice. This guide covers what JEE expects and how to test yourself with MCQs.

Concept explainer

Inverse functions is a core JEE Main Mathematics subtopic under Limit, Continuity and Differentiability. Master the definitions, standard results, and typical MCQ patterns tested in JEE Main and Advanced.

Key points

  • Understand the definition and scope of Inverse functions in the JEE syllabus
  • Memorise key formulas and standard results linked to Inverse functions
  • Practise 20–40 syllabus-aligned MCQs with step-by-step solutions

JEE tips

  • Revise Inverse functions with a one-page formula sheet before attempting mixed tests
  • After each practice set, log mistakes specific to Inverse functions and reattempt after 48 hours

Common trap

Students often rush Inverse functions questions without checking units, sign conventions, or boundary conditions — always verify assumptions before calculating.

Syllabus context

Part of Limit, Continuity and Differentiability in JEE Main Mathematics.

Free sample questions

Attempt 2 free MCQs for Inverse functions. Unlock the full bank with Pro.

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Q1MathsUnit 7: Limit, Continuity and Differentiability
If f(x)=x2−x+5,x>12,f(x)=x^{2}-x+5, x>\frac{1}{2}, and g(x)g(x) is its inverse function, then g′(7)g^{\prime}(7) equals:
Q2MathsUnit 7: Limit, Continuity and Differentiability
The domain of f(x)=\mathbf{f}(\mathbf{x})= cot⁡−1(xx2−[x2])\cot ^{-1}\left(\frac{\mathbf{x}}{\sqrt{\mathbf{x}^{2}-\left[\mathbf{x}^{2}\right]}}\right) is ([.]([.] denotes the greatest integer function)

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Frequently asked questions

What concepts in Inverse functions are essential for JEE?

Focus on core ideas across Inverse functions. JEE tests application, not just memorisation.

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