math 155 precalculus

1. (5 points for each part) Given f (x) = x - x2 and g(x) = 4x - 2 Remember to document your steps so that someone reading your solution can understand what you did how your work results in the answers you give (a) Simplify f (-3) (b) Simplify (x2) (c) Simplify f(g(x)) (d) Simplify g(g(x)) - x 2. The volume of a balloon is increasing at the rate of 15 Cubic meters a minute and the balloon has an initial volume of 13 cubic meters. Find a linear function that models the volume of the balloon and find how long until the volume of the balloon is 499 cubic meters. 3. x represents the number of years since 2000 and y represents the profits in millions of dollars Use the following table of data for the function of y in terms of x: 10 2 6 8 10 30 20 8 2 0 Find the average rate of change from 2002 to 2008 Remember to include the proper units with your answer 4. Find the inverse function of f (x) = Write your answer using proper inverse function notation 5. Without using technology, sketch a graph of the piecewise function: g(x) = 1+ 3x x