SOLUTION: Given f(x)=-sqrt(x)+2, determine the domain of f^-1(x)

Question 164427: Given f(x)=-sqrt(x)+2, determine the domain of f^-1(x)
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
First, let's find the inverse.
To find the inverse, first change to x,y notation.

Then interchange the positions of x and y and solve for y.

The solution for the new y is the inverse function.

The domain for the inverse looks like all x, (,).
However, the domain of the original function is bounded by (,) due to the square root function.
The range of the original function is then (,).
The domain of the inverse must match the range of the original function.
Therefore the domain of the inverse function is (,).
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