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Suppose that g(x)=f^{-1}(x). If g(-15)=0, g(0)=3, g(3)=9 and g(9)=20, what is f(f(9))?

 Nov 7, 2019
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Suppose that g(x)  =  f^{-1}(x). If g(-15)=0, g(0)=3, g(3)=9 and g(9)=20, what is f(f(9))?

 

f(x)  must be the inverse  of  f-1(x)

 

And   g(x)  = f-1(x)    

 

So...the points  ( -15,0)   (0, 3) and   ( 3,9)    are on  g(x)  and  f-1(x)

 

Which means  that the points  ( 0, -15)    (3, 0 )  and  ( 9,3)   are  on f(x)

 

So

 

f(9)  = 3

 

And

 

f ( f (9))   =  f(3)   =   0

 

 

cool cool cool

 Nov 7, 2019

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