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Relations and Functions
RS Aggarwal
CBSE
Grade 12

Question:

If $f(x) = 3x - 5$, then $f^{-1}(x)$ is:
(a) $\dfrac{x+5}{3}$
(b) $\dfrac{x-5}{3}$
(c) $3x + 5$
(d) $\dfrac{1}{3x-5}$

Step-by-Step Solution

Key Concept: y = 3x - 5 => x = (y+5)/3.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: $\dfrac{x+5}{3}$
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