SOLUTION: find the inverse of f(x) = x^2/2 if x is greater than or equal to 0.

Algebra ->  Linear-equations -> SOLUTION: find the inverse of f(x) = x^2/2 if x is greater than or equal to 0.      Log On


   

Question 326882: find the inverse of f(x) = x^2/2 if x is greater than or equal to 0.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Switch to x,y format.
y=x%5E2%2F2
Interchange x and y
highlight%28x%29=%28highlight%28y%29%29%5E2%2F2
Now solve for y.
The new y will be the inverse function.
2x=y%5E2
y=0+%2B-+sqrt%282x%29
Since we only want positive values,
highlight_green%28y=sqrt%282x%29%29