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Finite Math Examples
Step 1
Set the denominator in equal to to find where the expression is undefined.
Step 2
Step 2.1
Subtract from both sides of the equation.
Step 2.2
To remove the radical on the left side of the equation, cube both sides of the equation.
Step 2.3
Simplify each side of the equation.
Step 2.3.1
Use to rewrite as .
Step 2.3.2
Simplify the left side.
Step 2.3.2.1
Simplify .
Step 2.3.2.1.1
Multiply the exponents in .
Step 2.3.2.1.1.1
Apply the power rule and multiply exponents, .
Step 2.3.2.1.1.2
Cancel the common factor of .
Step 2.3.2.1.1.2.1
Cancel the common factor.
Step 2.3.2.1.1.2.2
Rewrite the expression.
Step 2.3.2.1.2
Simplify.
Step 2.3.3
Simplify the right side.
Step 2.3.3.1
Raise to the power of .
Step 3
The domain is all values of that make the expression defined.
Interval Notation:
Set-Builder Notation:
Step 4