What values of a and b make the function f continuous everywhere?

Question

(X^2-4)/(x-2). If x < 2

F(x)=. ax^2-bx-30. If 2<_x<3

16x-a+b. If x>_3

a=?

b=?

Answer 1

16x -a + b = a^2 -bx -30 when x= 3

48 -a+b = a^2 -3b -30

a^2 +a = 4b +78

(x^2-4)(x-2) = a^2 -bx -30 when x = 2

0 = a^2 -30

a = sqr30

30+sqr30 = 4b +78

b = sqr30- 48