Hello, I have the following function:
h(x) - lnx + ln(2-x)
The domain of this function is (0,2).
I understand the rule is that you must find a value of x that results in a sum greater than 0.
However I cannot understand why the domain could not be (negative infinity, 2).
For instance if x was -2, then I would have "...ln(2 - - 2)" equalling 4 ?
Thank you for any insight.
Don't forget the other part of your function. At x = -2:
Originally Posted by fran1942
h(-2) = ln(-2) + ln(2 - -2)
ln(-2) does not exist.
Is this supposed to be ?
lnx exists only when x>0
ln(2-x) exists only when 2-x>0 or x<2
So the domain of the function is A=(0,2)