For the function f(x) = x + 9, find (f o f^-1)(5)

A  function  can be thought of as a machine that takes in some input value , transforms it according to some rule, and outputs exactly one corresponding value . here, the rule transforming into is the expression .if we want to find the  inverse function  of , , we simply swap the inputs and the outputs. we want to find a rule that takes  our original outputs  as inputs and gives us our original  inputs  as outputs. since we  added 9  to our original input to give us our output, we can  subtract 9  to get back to that original input. our rule for our inverse function is thenwhen we create the function composition  , we then find that it simply becomes