#### Transcript of 5-1 Composite Functions

Pg 254 #35 A-D

The answer is...

**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}

The answer is...

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}

The answer is...

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}

The answer is...

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}

The answers are...

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

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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

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