inverse of y = x2 – 10x.?????????
How can I find the inverse of the function y = x² - 10x? I’m having trouble understanding this process. Could someone please explain the steps involved?
2 Answers
This isn’t easy. First, there are multiple values of x for the same value of y, so there isn’t a proper inverse function on the whole domain. Here’s how you do it:
y = x^2 – 10x + 25 – 25
y = (x-5)^2 – 25
y+25 = (x-5)^2
x-5 = +/-sqrt(y+25)
And you get TWO inverses:
x = 5 + sqrt(y+25), for x>=5
x = 5 – sqrt(y+25), for x<=5
Hope this helped!
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