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

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Let A = R – {3}, B = R –{1}. Let f : A → B be defined by f(x) = . Then

f is bijective

f is one-one

f is onto

one-to-one but not onto

Text Solution

Verified by Experts

The correct answer is:

CHECK THE SOLUTION.

(a, b, c)

Let x, y ∈ A be such that f (x) = f(y)

⇔ =

⇔ xy –3x – 2y + 6 = xy –3y –2x + 6

⇔ –2y + 3y = 3x –2x ⇔ x = y

Hence f is one-one.

Let y ∈ B , we want to get x ∈ A such that f(x) = y, i.e., = y. Cross multiplying and

solving, we obtain x = ∈ A. Hence f is onto and also objective.

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