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

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step-by-step explanation:

can i have brainliest

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is