Identifying Domain Restrictions for Rational Expressions

State the domain restrictions. 

• x ≠ -2

• x ≠ 2, 1

• x ≠ 2, -1

• x ≠ -2, 2, 1

Find the excluded value(s).

• 0

• 24

• -24

• no restrictions

Find the excluded value(s).

• 0

• 10

• 1

• -1

What are the domain restrictions of the following rational expression:

• x ≠ 4

• x ≠ -4, 4

• x ≠ -16, 16

• x ≠ 0, 4

What is the domain restriction?

• A

• B

• C

• D

What is the domain restriction?

• A

• B

• C

• D

State domain restriction

• x≠-6

• x≠-6, 3

• x≠3

• x≠-18

What is the domain restriction?

• A

• B

• C

• D

What is the domain restriction?

• A

• B

• C

• D

Student 1 says that the restrictions of $\frac{9\left(d-4\right)}{\left(d-7\right)\left(d+8\right)}$

• Yes because d = 4, d = 7, and d = -8 all make the denominator equal to zero

• Yes because d = 4, d = 7, and d = -8 all make the expression evaluate to zero

• No because d = 4 does not make the denominator equal to zero

• No because d = 0 is also a restriction