Finite Math Examples

Find the Domain of the Quotient
,
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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Remove parentheses.
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 .
The final answer is .
Compose the result function for by replacing the function designators with the actual functions.
Rewrite the division as a fraction.
Set the denominator in equal to to find where the expression is undefined.
Divide each term by and simplify.
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Divide each term in by .
Reduce the expression by cancelling the common factors.
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Cancel the common factor.
Divide by .
Divide by .
The domain is all values of that make the expression defined.
Interval Notation:
Set-Builder Notation:
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