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

1. anonymous

Did you find the inverse?

2. anonymous

i dont no how to

3. myininaya

solve for x

4. anonymous

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 $$f^{-1}(x)$$

5. anonymous

how

6. anonymous

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

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