Precalculus Examples

,
Distribute the value across the operation.
Evaluate .
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Replace the variable with in the expression.
Simplify the result.
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Multiply by .
The final answer is .
Evaluate .
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Replace the variable with in the expression.
Simplify the result.
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Remove parentheses.
The final answer is .
Compose the result function for by replacing the function designators with the actual functions.
Simplify.
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Rewrite the division as a fraction.
Factor using the perfect square rule.
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Rewrite as .
Check the middle term by multiplying and compare this result with the middle term in the original expression.
Simplify.
Factor using the perfect square trinomial rule , where and .
Set the denominator in equal to to find where the expression is undefined.
The domain is all values of that make the expression defined.
Interval Notation:
Set-Builder Notation:
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