Algebra-2

1. Factorize the denominator and numerator:

.

.

So .

2. Vertical Asymptote:

Vertical asymptotes occur where the denominator is zero and the numerator is not zero at the same point.

Setting the denominator equal to zero gives  or , so  and (there is a removable singularity).

When , the numerator is not zero.

Conclusion: Vertical asymptote at  is correct.

3. Hole:

A hole occurs where a factor in the numerator and a factor in the denominator cancel out.

Since  cancels out (when ), there is a hole at , not

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