Calculus

Switchboard. Suppose a switchboard operator is paid based on the number of calls answered. The hourly rate the operator is paid is given by two functions where g(2) = 2, 9(3) = 2, 9(4) = 3 and ((2) = 4, ((3) = 4, 1(4) = 6 then (f = g)(3) + (9(2) . f(3)) =