SOLUTION: For the function defined by f(x)=2x-x^2, 0< or equal to x, use a sketch to help find a formula for f^-1(x).

Algebra ->  Trigonometry-basics -> SOLUTION: For the function defined by f(x)=2x-x^2, 0< or equal to x, use a sketch to help find a formula for f^-1(x).      Log On


   

Question 95227This question is from textbook Algebra and Trigonometry
: For the function defined by f(x)=2x-x^2, 0< or equal to x, use a sketch to help find a formula for f^-1(x). This question is from textbook Algebra and Trigonometry

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Sketch the curve; then flip it over on the line y=x.
That will be the graph of the inverse.
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Here's the original graph; you will have to keep in mind
that the domain is restricted to x>=0. I can't show you
the graph of the inverse.
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C2x-x%5E2%29
Cheers,
Stan H.