The line \(x=-2\) is the vertical asymptote for this function.
What is a vertical asymptote?
- A vertical line that directs the function's graph but is not actually a part of it is called a vertical asymptote.
- Because it appears at an x-value outside of the function's domain, the graph can never cross it.
- There may be multiple vertical asymptotes for a given function.
- D(x), and cancel all common factors.
Solution -
The x-values at which a specific function is undefinable are known as vertical asymptotes;
Given that it is impossible to divide any number by 0, it will be the case for linear reciprocal functions like the one provided;
So all we have to do is change the denominator to 0, rearrange, and get x:
\(x+2=0\\x=-2\)
Therefore, the line \(x=-2\) is the vertical asymptote for this function.
Know more about vertical asymptote here:
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