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.

Algebra ->  Finance -> 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.       Log On


   



Question 994398: I need help with this problem too:
if f and g are defined as f(x) = ln x and g(x) = 1%2Fx, write the domain and range of f o g.


Answer by Boreal(15235) About Me  (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.
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-ln+%28x%29%29