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)=-7
(f+g)(x)=
(f-g)(x)=
(fg)(x)=
(f/g)(x)=
(f+g)(x) = f(x) + g(x) = 4x^2 + 5 - 7 = 4x^2 - 2
Domain: (-∞, ∞)
(f-g)(x) = f(x) - g(x) = 4x^2 + 5 - (-7) = 4x^2 + 12
Domain: (-∞, ∞)
(fg)(x) = f(x) * g(x) = (4x^2 + 5) * (-7) = -28x^2 - 35
Domain: (-∞, ∞)
(f/g)(x) = f(x) / g(x) = (4x^2 + 5) / (-7)
Domain: x ≠ 0 (-∞, 0) U (0, ∞)