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Given that $f(x) = x^{-1} + \frac{x^{-1}}{1+x^{-1}}$, what is $f(f(-2))$? Express your answer as a common fraction.

 Aug 4, 2021
 #1
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What answers did you get so far?

 Aug 4, 2021
 #2
avatar+34316 
+1

f(-2) =  -1/2 +  (-1/2 / (1-1/2) )

        = - 1/2  +  ( -1) = - 3/2      

 

 

for the second part sub in   -2/3    for     x-1   

 Aug 4, 2021
 #3
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you got it wrong the second part should have been -3/2 instead of -2/3 the answer is -8/3

 Aug 5, 2021

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