1. Find (g f)(x) and (f g)(x) for the given functions f and g. f(x) = 3x + 2, g(x) = 4x 8

(g f)(x)	=
(f g)(x)	=

2. Evaluate the composite function, where g(x) = x² 3x and h(x) = 7 2x². (h g)(0)

3. Evaluate the composite function, where f(x) = 3x + 6. (f f)(5)

4. Evaluate the composite function, where g(x) =x²3x and h(x) =22x². (gh) (- 1/3)

5. A boat is towed by a rope that runs through a pulley that is 4 feet above the point where the rope is tied to the boat. The length (in feet) of the rope from the boat to the pulley is given by

s = 24 t,

where t is the time in seconds that the boat has been in tow. The horizontal distance from the pulley to the boat is d.

(a) Find d(t).

d(t) =

(b) Evaluate s(15) and d(15). (Round your answers to two decimal places.)

s(15)	=
d(15)	=