Posted by **cnfused-steve please** on Saturday, December 1, 2012 at 3:26pm.

1.for the given function f&g, find the following and state the domain of each result.

f(x)=2x+1/9x-5; g(x) 4x/9x-5

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?

- college algebra -
**confused-steve please**, Saturday, December 1, 2012 at 5:37pm
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.

- college algebra -
**Steve**, Saturday, December 1, 2012 at 7:03pm
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)

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