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The graph of the function $f$ is shown below. How many solutions does the equation $f(f(x)) = 6$ have?

 Mar 28, 2018

Best Answer 

 #1
avatar+100807 
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The graph of the function $f$ is shown below. How many solutions does the equation $f(f(x)) = 6$ have?

 

Let's see...

f(1)=6    and f (-2)=6

so when is   f(x)=1     or   f(x))=-2

 

f(x)=1      4 times             [ because the line graph crosses the line y=1  four times. ]

f(x)=-2     2 times

 

So there are 6 answers to     f(f(x)=6

 Mar 28, 2018
 #1
avatar+100807 
+2
Best Answer

The graph of the function $f$ is shown below. How many solutions does the equation $f(f(x)) = 6$ have?

 

Let's see...

f(1)=6    and f (-2)=6

so when is   f(x)=1     or   f(x))=-2

 

f(x)=1      4 times             [ because the line graph crosses the line y=1  four times. ]

f(x)=-2     2 times

 

So there are 6 answers to     f(f(x)=6

Melody Mar 28, 2018

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