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

Algebra ->  Functions -> SOLUTION: consider the function f(x)=1-ln(x). Write the expression of (fof)(x) and find the domain of fof.      Log On


   

Question 1156147: consider the function f(x)=1-ln(x). Write the expression of (fof)(x) and find the domain of fof.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

consider the function
f%28x%29=1-ln%28x%29
Write the expression of
(fof)%28x%29+=f%28f%28x%29%29=1-ln%28highlight%281-ln%28x%29%29%29
the domain of fof:
find positive values for logs
highlight%281-ln%28x%29%29%3E0
ln%28x%29%3C1
=>only if +0%3Cx%3Ce
so, domain is
{ x element R : 0%3Cx%3Ce }
interval:
(0,e)