consider the function f(x)=1-ln(x). Write the expression of (fof)(x) and find the domain of fof.

Answer 1

f(f) = 1 - ln(f) = 1 - ln(1 - ln(x))
the domain of lnx is x > 0
The domain of ln(1-lnx) is 1-lnx > 0, or x < e
so the domain of (fof)(x) is (0,e)