I got a test question that was asking me to find the x intercept of the function (8-4x)/(x^2-6x+8)

Question

 I know that you can solve for the x intercept by solving the numerator, but when I did that and got 2, it said the correct answer was that there was no x intercept. Can someone explain this to me so I don't miss questions like this on future tests

Answer 1

If x = 2, the denominator also equals 0, which can't happen.