Posted by **ladybug** on Thursday, December 27, 2012 at 8:21pm.

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

- calculus--please check -
**Steve**, Thursday, December 27, 2012 at 11:22pm
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

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