Question

Help please!
Find the domain of the function:
5x+4/ x^2+3x+2

Answer 1

you cannot divide by zero

Answer 2

so if x^2+3x+2 were zero, then

x^2+3x+2 = 0

(x+1)(x+2) = 0

x+1 = 0 or x+2 = 0

x = -1 or x = -2

Answer 3

this means that if x = -1 or x = -2, then x^2+3x+2 = 0

so this tells us that the domain is the set of all real numbers but x cannot equal -1 and it cannot equal -2 (to avoid dividing by zero)

Answer 4

Thanks!