Let f(x)=log(x2−2x) and g(x)=xx−1. Which expression represents f(g(x) ?
a) log(x3−2x2x−1)
b) log(x2−2x(x−1)(x−1)2)
c) log(x2−2x)log(x2−2x)−1
d) xlog(x2−2x)x−1
f(g (x) ) = log [ (x)^2 / ( x - 1)^2 - 2x / (x - 1) ] =
x^2 - 2x ( x - 1)
log ____________ = "b"
(x - 1)^2
Thank you so much!