Question

How do I find the inverse of f(x) when the equation is: f(x)=(x+3)^2, x<-3

Answer 1

The answer is supposed to be f-1(x)= -√x - 3, but why?

Answer 2

y=(x+3)^{2}
\[x=\sqrt{y}-3\]
\[f^{-1}x=\sqrt{x}-3\]

Answer 3

how is y square rooted instead of x? o.O

Answer 4

inverse of a function is all about writing y in terms of x.



now interchange x and y to get get the inverse of y.( i dont think there would be a '-' before sqrt(y) in the answer you posted)