Question

3. Find the domain of the following function:

y = x^3 − 8
________
x^2 + 5x + 6

Select the appropriate response:

A) domain: x cannot equal −3, −2

B) domain: x equals −3, −2

C) None of the above

Answer 1

Answer: answer is A

(

−

∞

,

−

3

)

∪

(

−

3

,

−

2

)

∪

(

−

2

,

∞

)

Set-Builder Notation:

{

x

|

x

≠

−

2

,

−

3

}

Answer 2

Answer:

A) domain: x cannot equal −3, −2

Step-by-step explanation:

x² + 5x + 6

x² + 3x + 2x + 6

x(x + 3) + 2(x + 3)

(x + 2)(x + 3)

x = -2, -3 make the denominator 0