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

2 Answers
Dec 31, 2017

For Domain,
x^2+x!=0

x(x+1)!=0

x!=0 and x!=-1

So, D_f=R-{0,-1}

Dec 31, 2017

x\ne -1 and x \ne 0

Explanation:

You have to put x^2+x \ne 0 because function is not definied in 0.
The way to solve is:
x(x+1) \ne0
And there are 2 solutions:

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

D: \mathbb{R} - {-1, 0}