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## #1 2013-01-23 09:42:24

skylor
Guest

### evaluate the expressions using the graph

Ok I'm having a really hard time understanding this

I'll try to reproduce the graph

x     5   6    7     8      9
f(x)  8  7     5     8      6
g(x) 9   8    7     6      7

find f(g(6))

g(f(7))

f(f(6))

g(g(9))

## #2 2013-01-23 12:45:22

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

### Re: evaluate the expressions using the graph

Hi skylor;

http://www.mathsisfun.com/sets/function … ition.html

f(g(6)) = 8

g(f(7)) = 9

f(f(6)) = 5

g(g(9)) = 7

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #3 2013-01-25 15:29:11

John E. Franklin
Member
Registered: 2005-08-29
Posts: 3,588

### Re: evaluate the expressions using the graph

w h(w) j(w)
2   4       1
3   9       1.5
4   16       2
9   81       4.5
16 256     8
j(w) means takeHalfOf(w)
h(w) means square(w)
So j(h(2) = 2 because h(2) = 4 because 2 to the 2 power is 4 and j(4) is half of 4 or 2 back for the answer.

So j(j(j(j(32)=2 because j(32) = 32/2 = 16 and j(16) = 16/2 = 8, and j(8) = 8/2 or 4. and j(4) is 2.

igloo myrtilles fourmis

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