Question

find the inverse of f(x)=√(x-2)+5. what is the domain of f^1

Answer 1

Did you find the inverse?

Answer 2

i dont no how to

Answer 3

solve for x

Answer 4

The easiest way is to realize that \(f(f^{-1}(x)) = x\)
So plugging in \(f^{-1}(x)\) to the function gives
\(x= \sqrt{f^{-1}(x) -2} + 5\)

Then solve for \(f^{-1}(x)\)

Answer 5

how

Answer 6

Move the 5 to the other side, and square both sides to get rid of the square root.