Question

What are the discontinuities of the function f(x) = x^2+2x-24/6x+24?

Answer 1

a vertical asymptote at x=-4

Explanation:

`f(x)=(x^2+2x-24)/(6x+24)=((x+6)(x-4))/(6(x+4))`

The binomial denominator factor is not canceled by a numerator factor, so represents a vertical asymptote at x=-4. That is the only discontinuity