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If \(f(x) = \frac{4x+1}{3}\) what is the value of \(\left[f^{-1}(1)\right]^{-1}\)?

 Dec 28, 2017
 #1
avatar+102422 
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First.....we can solve

 

[ 4x + 1 ] / 3  =  1

 

4x  + 1   =   3

 

4x  =  2

 

x  =  2/4  =  1/2

 

So  ( 1/2, 1)  is on the orginal graph

 

So..... (1, 1/2)  is on the inverse

 

So....

 

  [  f -1  (1) ] -1  =   [ (1/2) ]-1  =    1 / (1/2)  =   2

 

 

 

cool cool cool

 Dec 29, 2017

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