Asked by rainbow
consider the function f(x)=1-ln(x). Write the expression of (fof)(x) and find the domain of fof.
Answers
Answered by
oobleck
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)
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)
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