At which values of x is the function f(x)=x2+x−6x−2continuous and discontinuous?

Question

continuous and discontinuous

Answer 1

x²+x-6=(x+3)(x-2). Therefore when x≠2, f(x)=x+3, because the factor x-2 cancels out. At x=2 f(x) is discontinuous. When x≠2, f(x) is continuous.

This question has already been answered previously. See https://www.mathhomeworkanswers.org/244595/at-which-values-the-function-continuous-and-discontinuous