Question

Find the domain of the function.
a) f(x)=5x+4/x^2+3x+2

Answer 1

start by factoring out the denominator

Answer 2

we know the denominator cannot be 0

can you tell me why?

Answer 3

that is infinity then

Answer 4

at the moment, just call it undefined

so looking at the denominator
denominator can't be 0
so solve for x
x^2+3x+2=0

Answer 5

once you solved for x

your domain can be everything except for the 2 x values you found

because if x were equal to the 2 x values, the the graph would become undefined and thus no solution would exist on those points