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) =

$h(x)=\frac{2}{(x-4)^3}$

Let f(x) =

$f(x)=\frac{2}{x^3}$

And

$g(x)=(x-4)$

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

$h(x)=\frac{2}{(x-4)^3}$