logistic_guy
Senior Member
- Joined
- Apr 17, 2024
- Messages
- 1,573
here is the question
Find the domain of the function f(x)=ln(1−2x)x+1.
my attemb
this function is my enemy. this isn't the first time to work with it
i'll always get the domain worng and now i think it's the best moment to show
i'm very good in domain after studying 6 treatments of composition functions
i'll try to solve it
i've fraction so i don't want the denomator to be zero
ln(1−2x)=0
1−2x=e0=1
−1+2x=−1
2x=−1+1=0
x=0
so zero is invalid value in the domain
my think now i don't want to have negative inside the logarthm function
so i want 1−2x>0
−1+2x<0
2x<1
x<21
Domain: (0,21)

the graph of f(x) don't agree with my calculations
Find the domain of the function f(x)=ln(1−2x)x+1.
my attemb
this function is my enemy. this isn't the first time to work with it
i'll always get the domain worng and now i think it's the best moment to show
i'm very good in domain after studying 6 treatments of composition functions
i'll try to solve it
i've fraction so i don't want the denomator to be zero
ln(1−2x)=0
1−2x=e0=1
−1+2x=−1
2x=−1+1=0
x=0
so zero is invalid value in the domain
my think now i don't want to have negative inside the logarthm function
so i want 1−2x>0
−1+2x<0
2x<1
x<21
Domain: (0,21)

the graph of f(x) don't agree with my calculations
