Compositions of Functions Day 2

Ex 1. Using the graph below, find the following composition of functions. a. 6 b. 0 c. 8 d. 5 e. 5 f. 2 g. (f +g)(x) = 6

Ex 2. Using the graph below, find the following composition of functions. a. 2 b. -2 c. 4 d. 1/3 e. 3 f. 3 g.

Ex 3 a. 0 b. 1 c. 1 d. 1 e. 2 g. g(-2) = 3.5, f(3.5)= 3 so (f o g)(x)=3 f. 0

A pebble is dropped into a calm pond, causing ripples in the form of concentric circles. The radius (in feet) of the outer ripple is r(t) = 0.6t, where t is the time (in seconds) after the pebble strikes the water. The area of the circle is Find and interpret

Ex 4 A spherically shaped balloon is being inflated so that the radius r is changing at the constant rate of 2 in/sec. Find an algebraic representation V(t) for the volume as a function of t and determine the volume of the balloon after 5 seconds. r = 2t V= 4/3pir^3 ( V(r))(t) =4/3pi(2t)^3 (V(r))(t) = 4/3 pi (8t^3) (V(r))(t) = (32 pi t^3)/3 (V(r))(5) is approximately 4188.79 cu in.