# Precalculus Examples

Replace the variable with in the expression.

Simplify the result.

Simplify each term.

Anything raised to is .

Divide by .

Add and .

The final answer is .

The value at is .

Replace the variable with in the expression.

Simplify the result.

Move to the numerator using the negative exponent rule .

Add and .

The final answer is .

The value at is .

Replace the variable with in the expression.

Simplify the result.

Evaluate the exponent.

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.

Simplify the numerator.

Multiply by .

Add and .

The final answer is .

The value at is .

Replace the variable with in the expression.

Simplify the result.

Raise to the power of .

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.

Simplify the numerator.

Multiply by .

Add and .

The final answer is .

The value at is .

List the points to graph.

Use the found points and asymptotes to graph .