The function is f(x)=x/(x+2)(x-1). The vertical asymptote of the function are -2 and 1.
Given that,
The function is f(x)=x/(x+2)(x-1)
We have to find the vertical asymptote of the function.
A vertical asymptote is a line that appears to correspond with a function's graph but never really touches the curve. When graphing a function, the vertical asymptote of the function is crucial.
Take the function,
f(x)=x/(x+2)(x-1)
Take the denominator is equal to 0.
(x+2)(x-1)=0
x+2=0 or x-1=0
x=-2 or x=1
Therefore, the vertical asymptote of the function are -2 and 1.
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