Question 1012243
.
Given f(x)=x-4 and g(x)=4x^2, find f+g, f-g, fg, and f/g. Determine the domain for each function 
(f+g)(x)=:
What is the domain of f+g: 
(f-g)(x)=
What is the domain of f-g: 
(fg)(x)=
What is the domain of fg: 
(f/g)(x)=
What is the domain of f/g: 
--------------------------------------------------------

<pre>
(f+g)(x) = {{{x - 4 + 4x^2}}}.  The domain is the entire number line (all real numbers).

(f-g)(x) = {{{x - 4 - 4x^2}}}.  The domain is the entire number line (all real numbers).

(fg)(x) = {{{(x - 4)*4x^2}}}.  The domain is the entire number line (all real numbers).

(f/g)(x) = {{{(x - 4)/(4x^2)}}}.     The domain is the entire number line except of x = 0.
</pre>