SOLUTION: I trying to find the inverse of a function. I have to solve for y but I don't know how to do this when there is a variable on the top and bottom. x(x-5)= y ----------> y(y-5)=x

Question 157496: I trying to find the inverse of a function. I have to solve for y but I don't know how to do this when there is a variable on the top and bottom.
x(x-5)= y ----------> y(y-5)=x ???
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll start where you left off

Start with the given equation

Distribute

Subtract "x" from both sides

Notice how we have a quadratic equation in the form of where , , and . So to solve for y, we must use the quadratic formula

Start with the quadratic formula

Plug in , , and

Multiply and simplify

or Break up the "plus/minus"

So the inverse of is or

Note: the inverse of is NOT a function.
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