Rational functions and their graphs,rational inequalities, transformations

Hi all,

I am an army wife taking a distance learning college algebra course. It is condensed- 8 weeks- yikes! And I am having some trouble with a few problems on my midterm review. If you can give me any assistance, I would greatly appreciate it!

1. Find the domain of (f/g)x when f(x)=6x ^2-3

and g(x)= x^2-2x-3

2. Find the domain of the composite function f with g

f(x)=2/x+7 g(x)=28/x

3. Given functions f and g, determine the domain of f+g

f(x)= 4x+5 g(x)=5/x+9

5. Graph the polynomial function x^4+ 4x^3 +4x^2

( you don't have to solve, can you just tell me how i go about graphing it?)

6. graph the rational function -4x/x+1

(dont have to solve, but can you give me steps to graphing it)

Thank you all so much for your help! This online course tells me the problems I got wrong on the midterm review, unfortunately It does not tell me the right answer or how to solve them correctly. God bless all of you math geniuses! I hope I can get there someday(Rofl)