SOLUTION: Find inverse of function f(x) = x^2

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Question 1166430: Find inverse of function f(x) = x^2 - 5x ?
Found 2 solutions by harpazo1965, greenestamps:
Answer by harpazo1965(1) (Show Source):
You can put this solution on YOUR website!
f(x) = x^2 - 5x

Let y = f(x)

y = x^2 - 5x

x = y^2 - 5y

x = y(y - 5)

x/(y- 5) = y

Here, y cannot be isolated. This function does not have an inverse.

Answer by greenestamps(13206) (Show Source):
You can put this solution on YOUR website!

The solution by the other (newcomer) tutor is incorrect.

Note the given function graphs as a parabola. The function has an inverse; but the inverse will not be a function.

To find the inverse, switch the x and y and solve for the new y.

To solve for y, you need to complete the square in y.

OR

OR

SOLUTION: Find inverse of function f(x) = x^2 - 5x ?