Graph each function f(x) and its inverse g(x). Then graph (f•g)(x)
since no function is defined i’m going to make up one and call it f(x) and then find its inverse and label it g(x). The composition of a function and its inverse should always be the equation of the line y=x .
so… suppose we
to find its inverse
replace f(x) with variable y.
then sway the x and y and the solve the equation back to the variable y
now lets call this new y our g(x)
the composition of the functions (f*g)(x) can also be understood better as f(g(x))
where we essentially put the the function g(x) inside of f(x) and after doing some simplifying we will get f(x)=x , or also known as y=x. which happens to be the axis of symmetry that f(x) will reflect across when becoming g(x).