Precalculus Examples

, ,
Step 1
Set up the composite result function.
Step 2
Evaluate by substituting in the value of into .
Step 3
Set the denominator in equal to to find where the expression is undefined.
Step 4
Solve for .
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Step 4.1
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 4.2
Simplify .
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Step 4.2.1
Rewrite as .
Step 4.2.2
Pull terms out from under the radical, assuming positive real numbers.
Step 4.2.3
Plus or minus is .
Step 5
The domain is all values of that make the expression defined.
Interval Notation:
Set-Builder Notation:
Step 6
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