Question

find domain of the function x2/x2+3x+2​

Answer 1

Heya!

Refer the attachment!

:)

Answer 2

Given

$f(x) = \dfrac{ {x}^{2} }{ {x}^{2} + 3x + 2}$

To find

The domain of the given function

Method

As we know that in a fraction denominator should not be equal to zero

$denominator \: \neq 0$

$x^2+3x+2\neq0$

$x^2+x+2x+2\neq0$

$x(x+1)+2(x+1)\neq0$

$(x+1)(x+2)\neq0$

So the domain is $\boxed{R-{-2,-1}}$