analyze the graph of the function R(x)=x^2+x-110/x^2-x-90 what is the domain? what is the equation of the vertical asymptote of R(x)? what is the equation of the horizontal or oblique asymptote of R(x)?

Question

whpalmer4 · Answer

If you factor both numerator and denominator, you'll see that they share a common factor of $(x-10)$.  That should be enough to get you started.

anonymous · Answer

okay so my domain would be all real numbers

whpalmer4 · Answer

Are you sure about that?  Aren't there any numbers which make the denominator equal 0?  Wouldn't those numbers be removed from the domain?

anonymous · Answer

so what would the domain be

whpalmer4 · Answer

domain would be all numbers that didn't result in a denominator of 0...
Factor the denominator.  Set the product terms = 0 and solve for the values of $x$ that make the product terms = 0.  I already told you that $(x-10)$ is a factor of the denominator, so $x - 10 = 0,x = 10$ is one of those values.  You can divide out $(x-10)$ and find the other factor, and set it equal to 0 and solve for $x$.