Homework Help: calculus--please check

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

Answer this Question

Related Questions

calculus--please check - analyze the graph of the function f(x)=x^2+x-90/x+3 a. ...
math - analyze the graph of the function. what is the domain of f(x)? f(x)=x^2+x...
calculus - answer the questions about the following function f(x)= 10x^2/x^4+25 ...
calcius - Determine whether the relation represents a function. If it is a ...
calculus--please help!! - given the following piecewise function F(x)={x+11 for...
Quadractic Functions - Please check my answers. Find the x-intercepts (if any) ...
High School Pre Calculus - This is probably really easy but I am confused. #1 ...
calculus - given the following piecewise function x+11 for -9<=x<-...
algebra - 1 (a) A function passes through the points (0, -5), (1, 0), (2, 7). ...
calculus--please help!! - Graph the function using transformations show your ...

For Further Reading

First Name:
School Subject:
Answer: