$\"\"$

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Find the domain of each function and the equations of any vertical or horizontal asymptotes, noting any holes.

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The function $\"\"$ .

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$\"\"$

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Cancel the common terms.

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$\"\"$ .

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$\"\"$

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Find the domain of the function.

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The denominator value can not be zero, so find excluded values.

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To find excluded values equate the denominator value to $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$ and $\"\"$ .

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Domain of the function is $\"\"$ .

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$\"\"$

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Find the vertical asymptote of the function.

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To find the vertical asymptote denominator of the function equate to zero.

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$\"\"$

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$\"\"$ .

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$\"\"$ is the vertical asymptote of the function.

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$\"\"$

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Find the horizontal asymptote of the function.

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$\"\"$

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$\"\"$ .

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$\"\"$ is the horizontal asymptote.

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$\"\"$

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Since the factor $\"\"$ in the denominator can be canceled out by the factor $\"\"$ in the numerator, the value of $\"\"$ is a hole.

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$\"\"$

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Domain of the function is $\"\"$ .

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$\"\"$ is the vertical asymptote of the function.

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$\"\"$ is the horizontal asymptote.

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The hole of the function is $\"\"$ .