SOLUTION: im giving the below function and im asked to find the domain and the intervals where f(x)>0.
f(x)=(e^x-1)ln(x)
i seemed to be stuck here
e^x-1>0
e^x=-1 -- now what do i do
Algebra.Com
Question 661422: im giving the below function and im asked to find the domain and the intervals where f(x)>0.
f(x)=(e^x-1)ln(x)
i seemed to be stuck here
e^x-1>0
e^x=-1 -- now what do i do here?
x > 0=0
how do i even get started with finding where is greater then zero?
Thanks for all your help in advance.
Miguel
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
im giving the below function and im asked to find the domain and the intervals where f(x)>0.
f(x)=(e^x-1)ln(x)>0
e^x-1>0
e^x>1
domain: (0,∞)
you can see this if you graph the e^x curve
..
ln(x)>0
domain: (1,∞)
you can see this if you graph the ln(x) curve
..
number line for f(x)
<.......0.......1===>
Domain of f(x) is (1,∞)
Domains of e^x and ln(x) must overlap
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