Finite Math Examples

Find the Domain fourth root of 16x^12
Step 1
Set the radicand in greater than or equal to to find where the expression is defined.
Step 2
Solve for .
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Step 2.1
Divide each term in by and simplify.
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Step 2.1.1
Divide each term in by .
Step 2.1.2
Simplify the left side.
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Step 2.1.2.1
Cancel the common factor of .
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Step 2.1.2.1.1
Cancel the common factor.
Step 2.1.2.1.2
Divide by .
Step 2.1.3
Simplify the right side.
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Step 2.1.3.1
Divide by .
Step 2.2
Since the left side has an even power, it is always positive for all real numbers.
All real numbers
All real numbers
Step 3
The domain is all real numbers.
Interval Notation:
Set-Builder Notation:
Step 4