Question

) What is the vertical asymptote for the rational function f(x)2x-523x + 6A) X = 2BB) x = }3.(x = -2D)x=-D56.

Answer 1

Answer:

C. x=-2

Explanation:

Given the rational function:

$f(x)=\frac{2x-5}{3x+6}$

To find the vertical asymptote of f(x), set the denominator of f(x) equal to 0 and solve for x:

• Denominator of f(x) =3x+6

Solve for x:

$\begin{gathered} 3x+6=0 \\ 3x=-6 \\ \text{ Divide both sides by 3} \\ \frac{3x}{3}=-\frac{6}{3} \\ x=-2 \end{gathered}$

The vertical asymptote of f(x) is x=-2.

Option C is correct.