Given that f(x) is even and g(x) is odd, determine whether each function is even, odd, or neither. (f • g)(x) = ? (g • g)(x) = ?

Answer:(f · g)(x) is odd(g · g)(x) is evenStep-by-step explanation:If f(x) is even, then f(-x) = f(x).If g(x) is odd, then g(-x) = -g(x).(f · g)(x) = f(x) · g(x)Check:(f · g)(-x) = f(-x) · g(-x) = f(x) · [-g(x)] = -[f(x) · g(x)] = -(f · g)(x)(f · g)(-x) = -(f · g)(x) - odd(g · g)(x) = g(x) · g(x)Check:(g · g)(-x) = g(-x) · g(-x) = [-g(x)] · [-g(x)] = g(x) · g(x) = (g · g)(x) (g · g)(-x) = (g · g)(x) - even