Precalculus Examples

Find the Domain of the Product of the Functions
,
Step 1
Find the product of the functions.
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Step 1.1
Replace the function designators with the actual functions in .
Step 1.2
Simplify.
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Step 1.2.1
Apply the distributive property.
Step 1.2.2
Simplify the expression.
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Step 1.2.2.1
Rewrite using the commutative property of multiplication.
Step 1.2.2.2
Multiply by .
Step 1.2.3
Multiply by by adding the exponents.
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Step 1.2.3.1
Move .
Step 1.2.3.2
Multiply by .
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Step 1.2.3.2.1
Raise to the power of .
Step 1.2.3.2.2
Use the power rule to combine exponents.
Step 1.2.3.3
Add and .
Step 2
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.
Interval Notation:
Set-Builder Notation:
Step 3
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