This is a piece wise function of course. f(x) =
(x2-4) / (x-2) if x is less than two.
ax2 - bx + 1 if x is greater than or equal to 2, or less than three.
4x - a + b if x is greater than or equal to three.
The Attempt at a Solution
Alright, I know enough to factor the top of the fist equation and get x+2. That means when x is two, f(x) is four. We can use f(x) in this case because we are making the function continuous. I've gotten as far as plugging in this value in the second equation and getting
4 = a4 - b2 + 1
but I don't know what to do from here, or how to get the values of a and b. I think I subtract one from the right and get
3 = a4 - 2b
Now I am definitely stuck.