Question

find two functions f and g such that f(g(x)=h(x).h(x)=2÷(x-4)^3Find the inverse Function of g(x)= x-1÷ x+5

Answer 1

h(x) =

`h(x)=(2)/((x-4)^3)`

Let f(x) =

`f(x)=(2)/(x^3)`

And

`g(x)=(x-4)`

Then h(x) = f(g(x)) =

`h(x)=(2)/((x-4)^3)`