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

(1)

we are given

We know that any function is undefined when denominator =0

so, we will set denominator =0

and then we can solve for q

now, we can factor it

so,

q≠1 and q≠−4............Answer

(2)

we are given

Since, any function is undefined when denominator =0

so, we set denominator =0

and then we can solve for y

so,

y≠−5

y≠−4.............Answer