Explanation:
you mean f^(-1) (x), so the inverse function, right ?
we find the inverse function by going back to the basic definition with a result variable : f(x) = y
and so,
y = x + 9
now we transform this equation, so that we end up with x alone n on one side and everything else in the other side :
y - 9 = x
and now we just rename x to y and y to x to turn this into a "regular" function :
x - 9 = y
or
y = x - 9
and that is the inverse function of the original function.
f^(-1) (x) = x - 9