I need to find the domain of f, the excluded values of f, the domain of (fg)(x); find (f+g)(-5), (f-g)(x), and (fg)(x) to the problem of:

Question

Let f(x)=(7x+1)/(3x+2) and g(x)=6x+5.

Answer 1

excluded values for the domain of f: when 3x+2 = 0

Otherwise the domain of f and g is all reals.

f+/-g = (x+1)/(3x+2) +/- (6x+5), so same domain as f.

fg = (7x+1)(6x+5)/(3x+2), so the domain is the same as that of f

(f+g)(-5) = f(-5)+g(-5) = -34/-13 - 25