Show how to determine the domain of each of the following functions

[Kazane]

1. The problem statement, all variables and given/known data

Show how to determine the domain of each of the following functions:
a) f(x) = ln(1 - ln(x))
b) g(x)=(x^2 -1)/(x^4・e^2x - 2x^2・e^2x - 8e^2x)
c) h(x)= sqrt(6-e^-5t)
Can somebody show me how to do these questions?

2. Relevant equations



3. The attempt at a solution
I have no idea...Can somebody show me how to do these questions?

[BloodyFrozen]

Could you possibly try looking at the graphs?:wink:

[HallsofIvy]

1. The problem statement, all variables and given/known data

Show how to determine the domain of each of the following functions:
a) f(x) = ln(1 - ln(x))
What is the domain of ln(x)? For what x is 1- ln(x) in that set?

b) g(x)=(x^2 -1)/(x^4・e^2x - 2x^2・e^2x - 8e^2x)
You can not divide by 0. Set the denominator equal to 0 and solve for x. Whatever x you get is not in the domain.

c) h(x)= sqrt(6-e^-5t)
You cannot take the sqrt of a negative number (asssuming that these are real valued functions). For what t is 6- e^(5t) negative?

Can somebody show me how to do these questions?

2. Relevant equations



3. The attempt at a solution
I have no idea...Can somebody show me how to do these questions?

[Kazane]

Thank you very much!