# Compositions and Inverses

Topics: Inverse function, Mathematics, Function Pages: 3 (696 words) Published: April 23, 2013
Composition and Inverse
Jack Lewis
Mat 222
Instructor: Dr. Dariush Azimi
January 14, 2013

Composition and Inverse
The assignment paper for this week is to define the following functions of Elementary and Intermediate Algebra: Problem number 1) fx=2x+5, Problem number 2) gx=x2- 3, and Problem number 3) hx= 7-x3. Compute (f – h)(4).

Evaluate the following two compositions: and .
Transform the g(x) function so that the graph is moved 6 units to the right and 7 units down. Find the inverse functions   and  .

INSTRUCTOR GUIDANCE EXAMPLE: Week Five Assignment
Composition and Inverse
We are working with the following functions:
f(x) = 5x – 3 g(x) = x2 + 2 h(x) = 3 + x
7
We have been asked to compute (f – h)(4).
(f – h)(4) = f(4) – h(4) So we can evaluation each separately and then subtract.
f(4) = 5(4) – 3
= 20 – 3 = 17 f(4) = 17
h(4) = (3 + 4)/7
= 7/7 = 1 h(4) = 1
(f – h)(4) = 17 – 1 = 16 This is our answer.
Next we are to compose two pairs of the functions into each other. First we will...