Question

find all vertical asymptotes of the following function.

f(x)=\frac{x - 7}{3x + 12}

answer

no vertical asymptotes

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Explanation:

Step1: Find the denominator's zero

Set the denominator \(3x + 12=0\).
Solve for \(x\): \(3x=- 12\), so \(x=-4\).

Step2: Check if numerator is zero at this \(x\)

Substitute \(x =-4\) into the numerator \(x - 7\).
We get \(-4-7=-11
eq0\).

Answer:

The vertical asymptote is \(x =-4\)