# Lesson Worksheet: Adding and Subtracting Rational Functions Mathematics

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:

Simplify .

• A
• B
• C
• D
• E

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