Home/
Competitive Exams/
JEE Main & Advanced/
Mathematics/
Sets, Relations and Functions/
Question 410005
JEE Mathematics · Medium

Sets, Relations and Functions: Inverse function MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

Timer-based practiceDetailed answer reviewMobile-friendly flow
Inverse functionMediumQuestion 410005

Question

If f(x) = 2x − 1, then f⁻¹(x) is:
  1. A
    (x+1)/2
    Correct
  2. B
    (x−1)/2
  3. C
    2x + 1
  4. D
    1/(2x−1)

Correct answer

(x+1)/2

Explanation

Let y = 2x − 1 → x = (y+1)/2. So f⁻¹(x) = (x+1)/2. Verify: f(f⁻¹(x)) = 2((x+1)/2) − 1 = x ✓.

Review Sets, Relations and Functions notesStart timed chapter practice