# What is the domain of (-2x^2-2x+1)/(x^2+x)?

Dec 31, 2017

For Domain,
${x}^{2} + x \ne 0$

$x \left(x + 1\right) \ne 0$

$x \ne 0$ and $x \ne - 1$

So, ${D}_{f} = R - \left\{0 , - 1\right\}$

Dec 31, 2017

$x \setminus \ne - 1 \mathmr{and} x \setminus \ne 0$

#### Explanation:

You have to put ${x}^{2} + x \setminus \ne 0$ because function is not definied in 0.
The way to solve is:
$x \left(x + 1\right) \setminus \ne 0$
And there are 2 solutions:

• $x \setminus \ne 0$
• $x + 1 \setminus \ne 0$ that becomes $x \setminus \ne - 1$

$D : \setminus m a t h \boldsymbol{R} - \left\{- 1 , 0\right\}$