Find the inverse of the function?

Question

h(x)=⁵√x-1 +3

 

explain the steps 

Answer 1

h(x) = ⁵√(x-1) + 3

 

Let y = h(x) :     y = ⁵√(x-1) + 3

 

Switch x and y :    x = ⁵√(y-1) + 3

 

 Solve for y:   x-3 = ⁵√(y-1)

 

                       (x-3)⁵ = y-1

 

                             y = (x-3)⁵ + 1

 

                          f^-1(x) = (x-3)⁵ + 1