(A)
The denominator never zero, so the domain is all real numbers. So, of course F(x) is continuous, since there are no places where it is undefined. As x gets large, F(x) ≈ 3x^2/x^2 = 3.
For the zeros of rational functions, they occur where the numerator is zero (as long as the denominator is not also zero).
(A) find the domain of the function, (B) decide if the function is continuous, and (c) identify your horizontal and vertical asymptotes.
F(x)= (3x^2+1)/(x^2+x+9)
Find the zeros (if any) of the rational function.
G(x)= (x^3-8)/x^2+4
H(x)=5 + 3/(x^2+1)
G(x)= (x^2-5x+6)/(x^2+4)
These are the last questions or problems I have on my homework and I don't know how to do them. Please show and tell me how to do them!
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