inverse equations

Question

how would you prove these two equations are or are not inverses of each other?

F(x) = (x – 6)²

G(x) = sq rt. of x +6

Answer 1

To find the inverse of y=(x-6)², reverse the roles of x and y and solve for y

x=(y-6)²

y=6±√x

If you graph these THREE expression you will find that 6+√x is the inverse of one leg of the parabola and 6-√x is the inverse of the other!