Math Is Fun Forum

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))

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: evaluate the expressions using the graph

Hi skylor;

Please read this:

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

f(g(6)) = 8

g(f(7)) = 9

f(f(6)) = 5

g(g(9)) = 7

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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.

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.

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