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

Guest Aug 4, 2021

#2**+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 }

ElectricPavlov Aug 4, 2021