$\"\"$

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The function is $\"\"$ .

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(a)

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The domain of a function is all values of $\"\"$ , those makes the function mathematically correct.

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Rewrite the function as $\"\"$ .

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$\"\"$

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The denominator of the function should not be zero.

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$\"\"$ .

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Apply zero product rule.

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

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

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The general solution of $\"\"$ is $\"\"$ , where $\"\"$ is any positive integer.

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The domain of $\"\"$ is all values of $\"\"$ , except $\"\"$ and $\"\"$ .

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$\"\"$

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(b) Graph the function:

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$\"\"$

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Observe the graph:

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The domain of the function is not obvious.

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The function has hole at $\"\"$ .

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$\"\"$

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Find $\"\"$ .

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$\"\"$

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Observe the graph:

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$\"\"$ .

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$\"\"$

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(d) $\"\"$

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Multiply numerator and denominator by $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Apply formula $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$ .

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$\"\"$

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(a) The domain of the function is all values of $\"\"$ , except $\"\"$ and $\"\"$ .

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(b)

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$\"\"$

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(c) $\"\"$ .

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(d) $\"\"$ .