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If f(x)=2/(x+1), then what is the value of f^-1(1/5)?

 Apr 6, 2022

Best Answer 

 #2
avatar+122385 
+1

We can solve this as follows

 

1/5 =2 / (x + 1)

 

x + 1  =  2  / (1/5)

 

x + 1  =  10

 

x = 9 

 

So

 

f-1( 1/5)  =  9

 

Proof      

 

f(9)  =1/5    so    (9,1/5) is on the graph of f

 

f-1 reverses  the coordinates    so   (1/5,  9)  is on the graph of the inverse

 

cool cool cool

 Apr 6, 2022
 #1
avatar
0

$f^{-1}(1/5) = \frac{4}{3}$

 Apr 6, 2022
 #2
avatar+122385 
+1
Best Answer

We can solve this as follows

 

1/5 =2 / (x + 1)

 

x + 1  =  2  / (1/5)

 

x + 1  =  10

 

x = 9 

 

So

 

f-1( 1/5)  =  9

 

Proof      

 

f(9)  =1/5    so    (9,1/5) is on the graph of f

 

f-1 reverses  the coordinates    so   (1/5,  9)  is on the graph of the inverse

 

cool cool cool

CPhill Apr 6, 2022

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