JEE MATHEMATICS MCQ: FUNCTIONS

1 Hard

1 of 1

Application +4 | -1

Let

g(x)=\frac{e^x-e^{-x}}{2}

and

g(f(x))=x

, then

f\left(\frac{e^{22}-1}{2 e^{11}}\right)-5=

View answer and explanation

Correct option: A

Option A (6) is correct because finding the inverse of g(x) and substituting the given value results in f(x) = 11, thus f(x) - 5 = 6.

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