What is the discontinuity of the function f(x) = the quantity of x squared minus 4 x minus 12, all over x plus 2? (−6, 0) (6, 0) (−2, −8) (2, −4)
\(f(x) = \frac{ x^{2} - 4x - 12}{x + 2}\)
The point of discontinuity is where the function is undefined; so with a fractional function if the base is zero the the function is undefined thus being the point of discontinuity.
\(\frac{ (-2)^{2} - 4(-2) - 12}{(-2) + 2}\) = undefined
thus when x is -2 the function would be discontinuous