+0  
 
0
409
8
avatar+272 

The function f(x) is graphed below.

 Each small box has width and height 1.  

 

What is the value of f(f(1))+f(f(2))+f(f(3))+...+f(f(8))+f(f(9))?

 Nov 10, 2017

Best Answer 

 #7
avatar+7350 
+2

There is the point  (1, 7)  , so  f(1)  =  7

There is the point  (7, 9)  , so  f(7)  =  9

 

f( f(1) )  =  f( 7 )  =  9          Continuing this...

f( f(2) )  =  f( 4 )  =  8

f( f(3) )  =  f( 1 )  =  7

f( f(4) )  =  f( 8 )  =  6

f( f(5) )  =  f( 5 )  =  5

f( f(6) )  =  f( 2 )  =  4

f( f(7) )  =  f( 9 )  =  3

f( f(8) )  =  f( 6 )  =  2

f( f(9) )  =  f( 3 )  =  1

 

9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1   =   45

 Nov 10, 2017
 #1
avatar+578 
+1

waiting for moderation of picture, then ill answer

 Nov 10, 2017
 #2
avatar+578 
+1

hmm what is the equation of f(x)

 Nov 10, 2017
 #3
avatar+272 
0

Thats what we have to figure out

WhichWitchIsWhich  Nov 10, 2017
 #4
avatar+578 
+1

hmmmm thats tricky...the equation to make those dots is needed to find the solution you ask for

 

is there any extra details you can give?

 Nov 10, 2017
edited by OfficialBubbleTanks  Nov 10, 2017
 #6
avatar+272 
0

no sorry thats all the info I got :I

WhichWitchIsWhich  Nov 10, 2017
 #5
avatar+578 
+1

I'm sorry, but I don't understand this problem. If there was some more information, like what the function for f(x) was, I could solve it. ;-;

 Nov 10, 2017
 #7
avatar+7350 
+2
Best Answer

There is the point  (1, 7)  , so  f(1)  =  7

There is the point  (7, 9)  , so  f(7)  =  9

 

f( f(1) )  =  f( 7 )  =  9          Continuing this...

f( f(2) )  =  f( 4 )  =  8

f( f(3) )  =  f( 1 )  =  7

f( f(4) )  =  f( 8 )  =  6

f( f(5) )  =  f( 5 )  =  5

f( f(6) )  =  f( 2 )  =  4

f( f(7) )  =  f( 9 )  =  3

f( f(8) )  =  f( 6 )  =  2

f( f(9) )  =  f( 3 )  =  1

 

9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1   =   45

hectictar Nov 10, 2017
 #8
avatar+272 
+2

Thanks!

WhichWitchIsWhich  Nov 10, 2017

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