Question

What is the coordinates of the hole in this graph?
And how do you get the y coord part of it?
f(x)=(x^2-4)/(x^2-x-2)

Answer 1

Hint: Factor the numerator and denominator as much as possible

Answer 2

Then see if anything cancels

Answer 3

Thanks. It does, the (x-2) on the top and bottom. Then I know that the hole is at x-2=0, so it is at 2. But that is only the x coord. How do I get the y part so I can graph it?

Answer 4

You now plug x = 2 into the simplified version of (x^2-4)/(x^2-x-2) to find the function value or the y coordinate

Answer 5

God bless you!

Answer 6

yw