Answer
$yes$
Graph of such functions are mirror image of itself about y = x line, for this to happen
Example s
$f(x) = x$,
$f(x) = \frac{1}{x}$
Work Step by Step
Yes, a one-to-one function and its inverse be equal
Graph of such functions are mirror image of itself about y = x line, for this to happen
Example for function
$y = f(x) = x$
Inverse function will also be
$f^{-1}(x) = x$
Similarly
$y = f(x) = \frac{1}{x}$ is also inverse of itself
So is true for general form of equation
$y = f(x) = a- x$, here
$f^{-1}(x) = a- x$
