Question

question 40
find the vertical and horizontal asymptotes of the function below:
$f(x)=\frac{7x}{x + 4}$
vertical asymptote: $x =$ choose
horizontal asymptote: $y =$ choose

Explanation:

Step1: Find vertical asymptote

Set denominator to 0: $x+4=0$
Solve for $x$: $x=-4$

Step2: Find horizontal asymptote

Compare degrees of numerator/denominator.
Both are degree 1, so take ratio of leading coefficients: $\frac{7}{1}=7$

Answer:

Vertical asymptote: $x = -4$
Horizontal asymptote: $y = 7$