### Present Remotely

Send the link below via email or IM

• Invited audience members will follow you as you navigate and present
• People invited to a presentation do not need a Prezi account
• This link expires 10 minutes after you close the presentation

Do you really want to delete this prezi?

Neither you, nor the coeditors you shared it with will be able to recover it again.

# 5-1 Composite Functions

No description
by

## Shara Burwell

on 16 January 2014

Report abuse

#### Transcript of 5-1 Composite Functions

Pg 254 #35 A-D
5-1 Composite Functions
A) f of g B) g of f C) f of f D) g of g
35. f(x)=3/(x-1); g(x)=2/x
a) 3x/(2-x); {x x≠0,2}
b) 3x/(2-x); {x|x≠0,1}
c) 3x/2; {x|x≠1,2}
d) -3x/(2-x); {x|x≠1}
a) (2x-2)/3; {x|x≠1}
b) (3x-3)/2; {x|x≠0}
c) 2x/3; {x|x≠0,2}
d) (x-2)/3; {x|x≠1,2}
a) 3x/(2-x); {x|x≠0,2}
a) (2x-2)/3; {x|x≠1}
C) f of f
a) (x-1)/(x-4) {x|x≠1}
b) 3x/(4-x) {x|x≠4}
c) (3x-3)/(4-x) {x|x≠1,4}
d) (4-x)/(3x-3) {x|x≠0,1}
c) (3x-3)/(4-x); {x|x≠1,4}
D) g of g
a) x/2; {x|x≠-1}
b) x/4; {x|x≠0,2}
c) -2/x; {x|x≠0}
d) x; {x|x≠0}
d) x; {x|x≠0}
a) (-4x+17)/(2x-1); {x|x≠3,1/2}
b) (-3x+3)/(2x+8); {x|x≠-1,-4}
c) (-2x-5)/(x-2); {x|x≠-1,2}
d) (-3x+4)/(2x-11); {x|x≠1 1/2,3}
Pg. 254 #43
Suppose that an oil tanker is leaking oil and we want to be able to determine the area of the circular oil patch around the ship. It is determined that the oil is leaking from the tanker in such a way that the radius of the circular oil patch around the ship is increasing at a rate of 3 feet per minute. Find a function for the area of the oil spill as a function of time.
Real World Example of a Composite Function
a) f of g b) g of f c) f of f d) g of g
43. f(x)=(x-5)/(x+1); g(x)= (x+2)/(x-3)
Practice Questions
Pg. 253 #17,
Pg. 254 #25,
Pg. 254 #39,
Pg. 255 #73
Check out this video for more help!
B) g of f
A) f of g
Free Response
Multiple Choice
http://www.montgomerycollege.edu/~iscott/180_Chp5.pdf
Find out how to do Pg. 254 #43 part A by visiting the link below.
http://www.showme.com/sh/?h=JmYzFBY
Full transcript