If $f(x)=\frac{2 x-1}{x+5}(x \neq-5)$, then $f^{-1}(x)$ is equal to

$\frac{x+5}{2 x-1}, x \neq \frac{1}{2}$

$\frac{x-5}{2 x+1}, x \neq \frac{1}{2}$

JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

f(x)=\frac{2 x-1}{x+5}(x \neq-5)

, then

f^{-1}(x)

is equal to

View answer and explanation

Correct option: B

\frac{5 x+1}{2-x}, x \neq 2

Option B is correct because solving for x in terms of y and swapping x and y gives

f^{-1}(x) = \frac{5x+1}{2-x}

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