2. for f(x) = (x²+5x + 6)/(x + 2), identify the point of discontinuity. a. x = -2 b. x = 2 c. x = 0 d. x = 6

2. for f(x) = (x²+5x + 6)/(x + 2), identify the point of discontinuity. a. x = -2 b. x = 2 c. x = 0 d. x = 6

2. for f(x) = (x²+5x + 6)/(x + 2), identify the point of discontinuity. a. x = -2 b. x = 2 c. x = 0 d. x = 6

Answer

Explanation:

Step1: Recall discontinuity condition

A rational - function $y = \frac{g(x)}{h(x)}$ is discontinuous where $h(x)=0$. For $f(x)=\frac{x^{2}+5x + 6}{x + 2}$, the denominator is $h(x)=x + 2$.

Step2: Solve for $x$ when denominator is 0

Set $x+2 = 0$. $x=-2$.

Answer:

A. $x=-2$