JEE Main 2021 — Functions Question with Solution
From: JEE Main 2021 (Online) 18th March Evening Shift
Question
Let f : R {3} R {1} be defined by f(x) = .
Let g : R R be given as g(x) = 2x 3. Then, the sum of all the values of x for which f1(x) + g1(x) = is equal to :
Let g : R R be given as g(x) = 2x 3. Then, the sum of all the values of x for which f1(x) + g1(x) = is equal to :
Choose an option
Show full solutionCorrect option: B
Correct answer
B5
Step-by-step explanation
Finding inverse of f(x)
Similarly for
x = 2 or 3
Similarly for
x = 2 or 3
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This is a previous-year question from JEE Main 2021, 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.