Find the values of a and b that make f continuous everywhere.
f(x) =
(x2 − 4) / (x − 2) if x < 2
ax2 − bx + 3 if 2 ≤ x < 3
4x − a + b if x ≥ 3
a =
b =

So the question is asking to calculate or find the value of a and b so that it would be fit or be continuous in the said equation in your problem, base on my calculation and further formulation, the value of A is 7/12 and B = 13/2. I hope you are satisfied with my answer and feel free to ask for more