Precalculus Examples

Find the Domain of the Difference
,
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 to get .
The final answer is .
Evaluate .
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Replace the variable with in the expression.
Simplify the result.
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Multiply by to get .
The final answer is .
Compose the result function for by replacing the function designators with the actual functions.
Simplify.
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Simplify each term.
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Apply the distributive property.
Multiply by to get .
Multiply by to get .
Simplify by adding terms.
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Remove unnecessary parentheses.
Subtract from to get .
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
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