Business EmailThe average number of email messages sent and received per corporate user per day in yeartbetween 2011(t= 1)

and 2015(t= 5)

is projected to be

f(t) =3t+ 69(1t5).

The average number of spam emails sent per corporate user per day for the period under consideration is projected to be

g(t) =0.2t+13.5(1t5).

(a)

Find a function,h, giving the projected average number of legitimate (non spam) emails sent and received per corporate user per day in yeart. Hint:h(t) =f(t)g(t).

h(t) =

(b) Computef(4).

Computeg(4).

Computeh(4).