Domain

[plshelp111]

Hello!
Can somoene help me find the domain, zero points of F(x) = [MATH]\frac{\left(x+2\right)}{\left(2x-x^{2}\right)}+\frac{3}{x^{3}-4}-\frac{1}{x}[/MATH]?

AA.

 

[tkhunny]

Where have you looked?

Factor those denominators. That should get you started.

 

[HallsofIvy]

The domain is the set of all real numbers except those that make any of the denominators 0. You need to solve \(\displaystyle 2x- x^2= 0\), \(\displaystyle x^3- 4= 0\), and \(\displaystyle x= 0\). That was why TKHunny suggested that you factor the denominators. The zeros are harder. I suggest you get a common denominators so you can combine the fractions into one. A/B= 0 if and only if A= 0.

 

[Deleted member 4993]

Hello!
Can somoene help me find the domain, zero points of F(x) = [MATH]\frac{\left(x+2\right)}{\left(2x-x^{2}\right)}+\frac{3}{x^{3}-4}-\frac{1}{x}[/MATH]?

AA.

That (x3 - 4) in the denominator of the second term - is that correct?

Please confirm.....