# Worksheet: Multiplying and Dividing Rational Functions

In this worksheet, we will practice multiplying and dividing rational functions.

Q1:

Answer the following questions for the rational expressions and .

Evaluate divided by .

• A
• B
• C
• D
• E

Is the result of divided by a rational expression?

• Ayes
• Bno

Would this be true for any rational expression divided by another rational expression?

• Ayes
• Bno

Q2:

Answer the following questions for the rational expressions and .

Find the product of and .

• A
• B
• C
• D
• E

Is the product of and a rational expression?

• Ano
• Byes

Would this be true for the product of any two rational expressions?

• Ayes
• Bno

Q3:

Simplify the function , and determine its domain.

• A, domain
• B, domain
• C, domain
• D, domain
• E, domain

Q4:

Simplify the function .

• A
• B
• C
• D
• E

Q5:

Given the function , evaluate , if possible.

• A
• Bundefined
• C
• D

Q6:

Simplify .

• A
• B
• C
• D
• E

Q7:

Simplify .

• A
• B
• C
• D
• E

Q8:

Simplify .

• A
• B
• C
• D
• E

Q9:

Determine the domain of the function .

• A
• B
• C
• D
• E

Q10:

Find the volume of a cube whose side length is .

• A
• B
• C
• D
• E

Q11:

Simplify the function , and determine its domain.

• A, domain
• B, domain
• C, domain
• D, domain
• E, domain

Q12:

Simplify the function , and determine its domain.

• A, domain
• B, domain
• C, domain
• D, domain
• E, domain

Q13:

Simplify the function , and determine its domain.

• A, domain
• B, domain
• C, domain
• D, domain
• E, domain

Q14:

Determine the domain of the function .

• A
• B
• C
• D
• E

Q15:

Find the missing term in the equality .

• A
• B
• C
• D

Q16:

Given that , , and , identify the domain of .

• A
• B
• C
• D
• E

Q17:

Given that and , find the value of .

• A
• B
• C
• D
• E

Q18:

Simplify the function .

• A
• B
• C
• D
• E

Q19:

Simplify the function .

• A
• B
• C
• D
• E

Q20:

Simplify the function .

• A
• B
• C
• D