Question

At which values of x does the function F(x) have a vertical asymptote? Check all that apply.A.7B.-3C.9D.0E.3F.-9

Answer 1

Explanation

Given the function

$f(x)=\frac{7}{2x(x+3)(x-9)}$

The vertical asymptotes occur for the x-values when we equate the denominator of the function to zero and solve for x

$\begin{gathered} 2x(x+3)(x-9)=0 \\ therefore; \\ x=0;x=-3;x=9 \end{gathered}$

Answer: Option B,C,D