Use the given functions to find each of the following and their respective domains. Do not try to simplify the resulting functions and be sure to write each domain using interval notation.
f(x)=4x^2+5 and g(x)=-7x
(f+g)(x)=
(f-g)(x)=
(fg)(x)=
(f/g)(x)=
(f+g)(x) = f(x) + g(x) = 4x^2 + 5 - 7x
Domain: All real numbers
(f-g)(x) = f(x) - g(x) = 4x^2 + 5 + 7x
Domain: All real numbers
(fg)(x) = f(x) * g(x) = (4x^2 + 5)(-7x) = -28x^3 - 35x
Domain: All real numbers
(f/g)(x) = f(x) / g(x) = (4x^2 + 5) / (-7x)
x ≠ 0
Domain: All real numbers except x = 0