Exam 5: Rational Expressions, Equations and Functions

The installation and setup fees for installing a new home security system total $500. It costs $360 per year to manage the system. The average annual cost, in dollars, , to use the system for years is . Find the average annual cost of using this system for 4 years.

Identify the location of any holes on the graph of the function. -

Use the rational inequality -Use interval notation to represent the solution.

Use the remainder theorem to determine which, if any, of these binomials are factors of

A combined variation is . If , and , find .

Perform the indicated operations and simplify. -

Use interval notation to represent the domain of each function. -

write the equation of any vertical asymptotes. -

Perform the indicated operations and simplify. -

Use long division to find the quotient. -

Use the rational inequality -Use interval notation to represent the solution.

Use the rational inequality . -Use interval notation to represent the solution.

Use synthetic division to find the quotient. -

Use long division to find the quotient. -

Perform the indicated operations and simplify. -

Perform the indicated operations and simplify. -

Perform the indicated operations and simplify. -

Evaluate or simplify each expression. -