analyze the graph of the function
f(x)=x^2+x-90/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,
{x|x ≠ -3}
or
x ∊ (-∞,-3)∪(-3,∞)
(b) correct
(c) correct