SOLUTION: I need help with this problem too: if f and g are defined as f(x) = ln x and g(x) = {{{1/x}}}, write the domain and range of f o g.

Question 994398: I need help with this problem too:
if f and g are defined as f(x) = ln x and g(x) = , write the domain and range of f o g.

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
F o g= ln (1/x)= -ln x
One can't have an ln of a negative number or 0, so x must be positive. That is the domain., (0,oo)
The range is (-oo, oo). When x is less than 1, -ln (x) becomes positive. When x=1, ln(x)=0. When x >1, -ln (x) becomes negative.

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