Math help!, functions! pls help?

Question

what is the inverse of g(x) when g(x)= squareroot of x-5 show work pls i cant figure this q out i forgot everything i learned last year and i really need to know it answer as soon as possible thanks!

Answer 1

saimerro dude how'd u get the sqrt symbol

Answer 2

g(x) = √(x-5)

The inverse of any function f(x) is defined as 1/f(x).

Thus 1/g(x) = 1/√(x-5)

We could also rewrite √(x-5) as (x-5)^(1/2)

We can define the inverse of g(x) as (g(x))^-1

Thus (g(x))^-1 = ((x-5)^(1/2))^-1 = (x-5)^(-1/2)