Problem 1 Under certain conditions the number of bacteria pr

Problem 1 Under certain conditions, the number of bacteria present in a colony is approximated by f(t)=A0e^0.029t, where t is in minutes. If A0=2,900,000, find the number of bacteria present at 5 minutes, 10 minutes, and 60 minutes.

Problem 2 Given functions f and g, (a) (fog)(x) and it\'s domain, and (b) (gof)(x) and it\'s domain.

Solution

No of bacteria present

(1) After 5 min 0.957

After 10 min 1.87

After 60 min 11.29

(2) (a) (f*g)(x) = [{x^(2)+3x-7}^(3)]

(b)(g*f)(x) = [{x}^(3)+3x^(3)-7]

Answer