Name Date:
Math 3
INVERSES SUMMARY
Period:
Team:
III, Mod 1
1. Demonstrate the inverse of f(x) = 3x2 +1, call it g(x) in the five methods specified below.
Undoing the Operations (See p. 4)
Using Tables
Table for f(x)
Table for g(x)
.
.
Inverse Equation by Solving (and Switching Variables)
Showing that f(g(x))=x and g(f(x)) = x
Reflection along the y = x line of symmetry
toy
--121
10
8
10
111
12
13
14
2. Are both f(x) and g(x) functions? Justify your answer.

Which equation can be simplified to find the inverse of y = 2x2?

Suppose there is a simple index of three stocks, stock abc, stock xyz, and stock qrs. stock abc opens on day 1 with 4000 shares at $3.15 per share. stock xyz opens on day 1 with 5000 shares at $4.30 per share. stock qrs opens on day 1 with 6000 shares at $4.60 per share. the price of stock abc on day 8 begins at $3.50. the price of stock xyz on day 8 begins at $3.90. stock qrs opens on day 8 with a price of $4.50 per share. assume that each stock has the same number of shares that it opened with on day 1. what is the rate of change of this simple index over 1 week?

Atriangle has an area of 72 square inches. if the base of the triangle has a length of 18 inches, what is the height of the triangle? use the formula for the area of a triangle: area = (base)(height) type a numerical answer in the space provided. do not include the units or spaces in your answer.