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The graph of the function f(x) is shown below.  How many values of x satisfy f(f(x)) = 3?

 

 Jul 23, 2022
 #1
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The slope of the line =  3

The equation of the line is

f(x)   = 3x - 5

 

f ( f(x))  =   3 (3x  -5) - 5

 

So

 

3( 3x  -5) - 5  =  3

 

9x -15 =  8

 

9x = 23

 

x = 23 / 9

 

Proof

 

f (23/9)  =  3 (23/9) - 5   = 8/3

 

f ( 8/3) =  3 (8/3) - 5   =  3

 

 

cool cool cool

 Jul 23, 2022

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