Question

Let f(x)= sqrt(2-x)
a. Why does f have an inverse that is a function?
b. Find a rule for f^-1(x) and state its domain.

Answer 1

the inverse of a function must have a one to one relationship with the function in order to be an inverse

Answer 2

so in order for this to work you will have to restrict your inverse function to values greater than zero

Answer 3

do you understand that?

Answer 4

ya, i think i got it.