Question

1. What are the domain restrictions of q^2−7q−8/q^2+3q−4

q≠1 and q≠−8
q≠−1 and q≠4
q≠1 and q≠−4
q≠−1 and q≠8

2. What are the domain restrictions of the expression y^2−3y−40/y^2+9y+20 ?

y≠−5
y≠8
y≠4
y≠−4
y≠5
y≠−8

Answer 1

1: q ≠ 1 and q ≠ -8

2: -4 and -5

Explanation:

Took the quiz

Answer 2

(1)

we are given

`(q^2-7q-8)/(q^2+3q-4)`

We know that any function is undefined when denominator =0

so, we will set denominator =0

and then we can solve for q

`q^2+3q-4=0`

now, we can factor it

`(q+4)(q-1)=0`

`(q+4)=0`

`q=-4`

`(q-1)=0`

`q=1`

so,

q≠1 and q≠−4............Answer

(2)

we are given

`(y^2-3y-40)/(y^2+9y+20)`

Since, any function is undefined when denominator =0

so, we set denominator =0

and then we can solve for y

`y^2+9y+20=0`

`(y+4)(y+5)=0`

`(y+4)=0`

`y=-4`

`(y+5)=0`

`y=-5`

so,

y≠−5

y≠−4.............Answer