Final answer:
The function f(x) = (x^2 + 2x - 24)/(6x + 24) has a discontinuity at x = -4.
Step-by-step explanation:
The function f(x) = (x^2 + 2x - 24)/(6x + 24) has discontinuities at the values of x where the denominator is equal to zero. In other words, we need to find the values of x such that 6x + 24 = 0. Solving this equation, we get x = -4.
Therefore, the discontinuity of the function f(x) occurs at x = -4.