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

 

 



\(f(f(x)) = 3\)

tertre  Mar 13, 2017

Best Answer 

 #3
avatar+1227 
+10

Thanks Melody and CPhill!

tertre  Mar 13, 2017
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3+0 Answers

 #1
avatar+91239 
+5

That one made me think !

 

I draw a horizonatal line at y=3

The graph crosses this at thre points,

Approx     x=-3,     x=1    and     x=4.5

 

So when does 

f(x)=-3    NEVER

f(x)=1     at   x=-1

f(x)=4.5   at   x=2.5

 

So there are 2 solutions.    x=-1    and      x =  2.5

Melody  Mar 13, 2017
 #2
avatar+79881 
+5

This can be a little confusing....

 

f(f(x))   = 3  when f(x)  = -3 and f(x)  = 1   and f(x) = 4.5

 

When f(x)  = -3   the value of x is off the graph

 

And when f(x)  = 1, x = -1

 

And when f(x) = 4.5 , x = 2.5

 

So x = -1   and x = 2.5

 

 

 

cool cool cool

CPhill  Mar 13, 2017
 #3
avatar+1227 
+10
Best Answer

Thanks Melody and CPhill!

tertre  Mar 13, 2017

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