Step-by-step explanation:
f(x) = 3x - 4
g(x) = x + 2
(f + g) = f(x) + g(x)
= 3x - 4 + x + 2
= 4x - 2
Domain: All real numbers
(f - g) = f(x) - g(x)
= 3x - 4 - (x + 2)
= 3x -4 -x -2
= 2x -6
Domain: All real numbers
(fg) = f(x) * g(x)
= (3x - 4)(x + 2)
= 3x^2 + 6x -4x -8
= 3x^ 2 + 2x - 8
Domain: All real numbers