If hxx8 find a function gx such that ghxxSolutionhx x 8 gh

If h(x)=x8, find a function g(x) such that g(h(x))=x

Solution

h(x) = x - 8

g(h(x)) = x

g(h(x)) means we replace \"x\" by h(x) in g(x)

since g(h(x)) =x then g(x) and h(x) are inverse of each other

therefore inverse of \"x + 8\" is \"x - 8\"            (inverse)

lets consider g(x) = x + 8

then g(h(x)) = x + 8 - 8

                   = x

therefore g(x) = x