# Worksheet: Adding and Subtracting Rational Functions

In this worksheet, we will practice adding and subtracting rational functions, identifying the domains of the resulting functions, and simplifying them.

Q1:

Simplify the function , and determine its domain.

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

Q2:

Simplify the function , and determine its domain.

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

Q3:

Answer the following questions for the rational expressions and .

Find the sum of and .

• A
• B
• C
• D
• E

Is the sum of and a rational expression?

• Ano
• Byes

Would this be true for any two rational expressions summed together?

• Ayes
• Bno

Q4:

Simplify the function , and determine its domain.

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

Q5:

Simplify the function , and determine its domain.

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

Q6:

Simplify the function , and determine its domain.

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

Q7:

Given that the domain of the function is , and , find the values of and .

• A ,
• B ,
• C ,
• D ,
• E ,

Q8:

Simplify the function , and determine its domain.

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

Q9:

Simplify the function , and determine its domain.

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

Q10:

Answer the following questions for the rational expressions and .

Subtract from .

• A
• B
• C
• D
• E

Is the difference between and a rational expression?

• Ayes
• Bno

Is the result of this subtraction a rational expression?

• Ano
• Byes

Q11:

Simplify the function , and determine its domain in .

• A , domain
• B , domain
• C , domain
• D , 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:

Simplify the function , and determine its domain.

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

Q15:

Simplify the function , and determine its domain.

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

Q16:

Simplify the function , and determine its domain.

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

Q17:

Simplify the function , and determine its domain.

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

Q18:

Simplify the function , and determine its domain.

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

Q19:

Simplify the function , and determine its domain.

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

Q20:

Simplify the function , and determine its domain.

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

Q21:

Given that the domain of the function is , what is the value of ?

• A
• B
• C
• D
• E

Q22:

Simplify the function , and find its domain.

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

Q23:

Simplify .

• A
• B
• C
• D
• E

Q24:

Simplify .

• A
• B
• C
• D
• E

Q25:

Simplify .

• A
• B
• C
• D
• E