find the vertical asymptote of the graph of the function. f(x)= (x + 1)/(4 - x) the vertical asymptote is at…

find the vertical asymptote of the graph of the function. f(x)= (x + 1)/(4 - x) the vertical asymptote is at x =

find the vertical asymptote of the graph of the function. f(x)= (x + 1)/(4 - x) the vertical asymptote is at x =

Answer

Explanation:

Step1: Recall vertical - asymptote condition

A vertical asymptote of a rational function $y = \frac{f(x)}{g(x)}$ occurs where the denominator $g(x)=0$. For $f(x)=\frac{x + 1}{4 - x}$, set the denominator equal to zero: $4−x = 0$.

Step2: Solve for x

Solve the equation $4−x = 0$ for $x$. Add $x$ to both sides: $4=x$.

Answer:

$4$