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## #1 2013-01-24 08:42:24

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 2013-01-24 11:45:22

bobbym

Offline

### 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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #3 2013-01-26 14:29:11

John E. Franklin
Star Member

Offline

### 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