Continuous on (-inf,inf): y={((2x^3-11x^2+4x-60)/(x-6), if x<6),(6x^2+6x+a, if x>=6) find "a"
(2x^3-11x^2+4x-60)/(x-6)
= (x – 6)(2x^2 + x + 10) / (x – 6)
= 2x^2 + x + 10
On x = 6: 2x^2 + x + 10 = 2x36 + 6 + 10 = 72 + 16 = 88
On x = 6: 6x^2+6x+a = 6*36 + 36 + a = 7*36 + a = 252 + a
Equating these results, 88 = 252 + a
Hence, a = 88 – 252 = -164
Answer: a = -164