college algebra
posted by cnfusedsteve please on .
1.for the given function f&g, find the following and state the domain of each result.
f(x)=2x+1/9x5; g(x) 4x/9x5
a.(f+g)(x)=?
What is the domain?
b. (f/g)(x)=?
what is the domain?
2.the function f is defined as follows
{x+6 if 5 ¡Üx<1
f(x)={9 if x=1
{x+4 if x>1
a. the domain of the function f is ?
b. what are the intercepts?

on the second question it should be
f(x)= {x+6 if 5is less than or greater than x<1
9 if x=1
x+4 if x>1
sorry it didn't come out right. 
it is customary online to use <= or >= for less than or equal, etc.
for both f and g, the domain is all reals except x = 5/9
so, f+g has the same domain
f/g = (2x+1)/4x
so, you would think the domain is all reals except x=0, but since neither f nor g is defined at x = 5/9, we have to exclude that as well.
2.
since all pieces of f are polynomials, their domain is just as stated: [5,1)U(1)U(1,oo) = [5,oo)
intercepts: (0,6) and (4,0)