Jeeify
MCQMediumJEE Main 2025 · 4 April, Shift 1Composition & Inverse Functions

Mathematics Question from JEE Main 2025 · 4 April, Shift 1

Let f,g:(1,∞)→Rf, g: (1, \infty) \rightarrow \mathbb{R} be defined as f(x)=2x+35x+2f(x) = \frac{2x + 3}{5x + 2} and g(x)=2−3x1−xg(x) = \frac{2 - 3x}{1 - x}. If the range of the function fog:[2,4]→Rfog: [2, 4] \rightarrow \mathbb{R} is [α,β][\alpha, \beta], then 1β−α\frac{1}{\beta - \alpha} is equal to

  • A

    6868

  • B

    2929

  • C

    22

  • D

    5656

Answer & step-by-step solution

Sign in to reveal the correct answer, the full step-by-step solution, and the common mistakes for this question.

Sign in to see the solution

Practice more Composition & Inverse Functions questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trialMore on Composition & Inverse Functions

Related questions