Question

ap precalculus - 1.7a rational functions and end behaviors. example 1: f(x) = \frac{x^{2}-4}{3x + 12}\
eq0. domain. focus on the denominator and solve for x. multiple - choice question. x=-2, x=-3, x=-4. rewatch

Explanation:

Step1: Set denominator not - zero

The denominator of the rational function $f(x)=\frac{x^{2}-4}{3x + 12}$ cannot be zero. So we set $3x+12
eq0$.

Step2: Solve the inequality

First, solve the equation $3x+12 = 0$. Subtract 12 from both sides: $3x=-12$. Then divide both sides by 3, we get $x=-4$. So the domain excludes $x = - 4$.

Answer:

The value that is not in the domain of the function is $x=-4$.