SOLUTION: Can someone help me with these problems? Find the domain of the following. Show how you got the answer please. 1. f(t)=log(t-5) 2.g(x)=5e^x 3.g(x)=ln(t+4) 4.g(t)=5^t

Algebra ->  Functions -> SOLUTION: Can someone help me with these problems? Find the domain of the following. Show how you got the answer please. 1. f(t)=log(t-5) 2.g(x)=5e^x 3.g(x)=ln(t+4) 4.g(t)=5^t       Log On


   



Question 115886: Can someone help me with these problems? Find the domain of the following.
Show how you got the answer please.
1. f(t)=log(t-5)
2.g(x)=5e^x
3.g(x)=ln(t+4)
4.g(t)=5^t

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The domain is the value of the argument of the function where the function makes sense.
1. For the log function, the argument must always be greater than zero.
%28t-5%29%3E0
t%3E5 is the domain.
2. There are no restrictions, the domain for x is (-infinity,infinity).
3. Just like the log function, the ln function requires the argument to be greater than zero.
%28t%2B4%29%3E0
t%3E-4 is the domain.
4. There are no restrictions, the domain for t is (-infinity,infinity).