JEE Main 2020MathematicsFunctionsMediumMCQ

JEE Main 2020 — Functions Question with Solution

JEE Main 2020 (08 Jan Shift 1)

Question

The inverse function of fx=82x-8-2x82x+8-2x,x∈-1,1, is __________.

Choose an option

Show full solutionCorrect option: D
Correct answer
D14log81+x1-x

Step-by-step explanation

y=82x-8-2x82x+8-2x

⇒ 1+y1-y=82x8-2x    (Applying componendo-dividendo)

⇒  84x=1+y1-y

⇒  4x=log81+y1-y

f-1x=14log81+x1-xs

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About this question

This is a previous-year question from JEE Main 2020, 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.