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# Algebra Examples

, ,

Set up the composite result function.

Evaluate by substituting in the value of into .

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Combine.

Multiply by .

Combine the numerators over the common denominator.

Multiply the numerator by the reciprocal of the denominator.

Multiply by .

Set the denominator in equal to to find where the expression is undefined.

Subtract from both sides of the equation.

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Move the negative in front of the fraction.

The domain is all values of that make the expression defined.

Interval Notation:

Set-Builder Notation: