JEE Main 2024 — Functions Question with Solution
From: JEE Main 2024 (Online) 29th January Morning Shift
Question
If , then range of is
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
f(g(x)) = \left\{ {\matrix{ {2 + 2g(x),} & { - 1 \le g(x) < 0} & {.....(1)} \cr {1 - {{g(x)} \over 3},} & {0 \le g(x) \le 3} & {.....(2)} \cr } } \right.
And by (2) and
Range of is
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This is a previous-year question from JEE Main 2024, covering the Functions chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.