Algebra 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 around .
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 around .
The final answer is .
Compose the result function for by replacing the function designators with the actual functions.
Rewrite the division as a fraction.
Solve to find the value of that makes the expression undefined.
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Set up the equation to solve for .
Add to both sides of the equation.
For asymptotes and point discontinuity (denominator equals ), it is easier to find where the expression is undefined. These values are not part of the domain.
The domain is all values of that make the expression defined.
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