[SPLIT] what is the domain of the following function: X^3 - X^2 + X - 2

[jesahel420]

This one has me stumped: what is the domain of the following function: X^3_ X^{2 +} X- 2 ? Any help here would be appreciated! Thanks, JP

 

[MarkFL]

Hi, I have a question, "Find the range of (2x^2+1)/(x^2+x+1)."

What is the way to go about this? Can I solve this algebraically?, or do I need to graph it?

HELP PLEASE!!

One method for determining the range of a rational function is to write:

\(\displaystyle y=\dfrac{2x^2+1}{x^2+x+1}\)

\(\displaystyle yx^2+yx+y=2x^2+1\)

\(\displaystyle (y-2)x^2+(y)x+(y-1)=0\)

Now, real roots occur when the discriminant is non-negative, so what do you find?

 

[HallsofIvy]

This one has me stumped: what is the domain of the following function: X^3_ X^{2 +} X- 2 ? Any help here would be appreciated! Thanks, JP

I'm very confused as to what the problem really is! jesahel420, do you know the definition of "domain"? If you don't then it should be clear that you cannot answer such a problem until you know the definition. If you do know the definition, this is just a matter of deciding which values of x satisfy that definition- and with this function that is very easy!