If $f(x) = \frac{x}{{1 + x}}$, then ${f^{ - 1}}(x)$ is equal to
$\frac{{(1 + x)}}{x}$
$\frac{1}{{(1 + x)}}$
$\frac{{(1 + x)}}{{(1 - x)}}$
$\frac{x}{{(1 - x)}}$
If $f(x) = {x^2} + 1$, then ${f^{ - 1}}(17)$ and ${f^{ - 1}}( - 3)$ will be
Which of the following functions is inverse of itself
If $f\left( x \right) = {\left( {2x - 3\pi } \right)^5} + \frac{4}{3}x + \cos x$ and $g$ is the inverse of $f$, then $g'\left( {2\pi } \right)$ = ?
Let $f: N \rightarrow R$ be a function defined as $f(x)=4 x^{2}+12 x+15 .$ Show that $f: N \rightarrow S ,$ where, $S$ is the range of $f,$ is invertible. Find the inverse of $f$
The inverse of the function $f(x) = \frac{{{e^x} - {e^{ - x}}}}{{{e^x} + {e^{ - x}}}} + 2$ is given by