JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

The inverse of the function

f\left( x \right) = \frac{{{{10}^x} - {{10}^{ - x}}}}{{{{10}^x} + {{10}^{ - x}}}} + 1

is given by

View answer and explanation

Correct option: A

\frac{1}{2}{\log _{10}}\left( {\frac{x}{{2 - x}}} \right)

Option A (

\frac{1}{2}{\log _{10}}\left( {\frac{x}{{2 - x}}} \right)

) is correct because it is the inverse function derived by swapping x and y and solving for y.

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