Answer
a) domain of both f and g
b) domain of both f and g
c) domain of both f and g, g(x) is not equal to 0
Work Step by Step
a) (f + g)(x) = f(x) + g(x)
The domain of (f + g)(x) is the intersection of the domains of f and g
b) (fg)(x) = f(x)g(x)
The domain of (fg)(x) is the intersection of the domains of f and g
c) $(\frac{f}{g})(x) = \frac{f(x)}{g(x)}$
The domain of (fg)(x) is the intersection of the domains of f and g, g(x) cannot be 0
