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Calculus

JEE Main level, single correct, medium

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Question 3 of 4

If $f(x) = 2x + 3$ is a bijective function from $\mathbb{R} \to \mathbb{R}$ , its inverse $f^{-1}(x)$ is:

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Answer: (B) $\frac{x-3}{2}$

y = 2x + 3 \implies 2x = y - 3 \implies x = \frac{y-3}{2} \implies f^{-1}(x) = \frac{x-3}{2}

JEE Main question paper PDF

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JEE Main 2025 Apr 2 Shift 1 question paper

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More Mathematics practice

JEE Main Mathematics practice question on Calculus, with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.

If f(x)=2x+3f(x) = 2x + 3f(x)=2x+3 is a bijective function from R→R\mathbb{R} \to \mathbb{R}R→R, its inverse f−1(x)f^{-1}(x)f−1(x) is:

JEE Main question paper PDF

More Mathematics practice

If $f(x) = 2x + 3$ is a bijective function from $\mathbb{R} \to \mathbb{R}$ , its inverse $f^{-1}(x)$ is: