Given that $f(x) = x^{-1} + \frac{x^{-1}}{1+x^{-1}}$, what is $f(f(-2))$? Express your answer as a common fraction.
What answers did you get so far?
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
you got it wrong the second part should have been -3/2 instead of -2/3 the answer is -8/3
+37159 
