Find f+g, f-g, fg and (f)/(g). Determine the domain for each function. f(x)=4x + 3, g(x)= x - 4. The domain of (f+g)(x) is all real numbers.
a. (f+g)(x) = 5x - 1, domain: all real numbers
b. (f+g)(x) = -3x + 7, domain: all real numbers
c. (f+g)(x) = 5x - 1, domain: x is a real number, x ≠ 4
d. (f+g)(x) = -3x + 7, domain: x is a real number, x ≠ 4