calculusplease check
posted by ladybug .
analyze the graph of the function
f(x)=x^2+x90/x+3
a. what is the domain?
I think it is x‚3 (‡,3)(3‡)
b. what is the equation of the vertical asymptote? is it x= 3
c. what is the horizontal asymptotes?
none

Be sure to use parentheses to disambiguate order of operations. I was about to consider (a) wrong because it was not clear thet (x+3) was the denominator, not x.
the domain is all reals except where the denominator of any term is zero. In this case, all reals ≠ 3. Your idea of a domain is strange, if you say "x" is in the domain. In symbols,
{xx ≠ 3}
or
x ∊ (∞,3)∪(3,∞)
(b) correct
(c) correct