SOLUTION: Hello, Need help finishing my assignment. i am stuck on a domain question? Find the domain of the following: f(t)= log(t-5) I answered ( is all positive values such that (t-5)>0

Algebra ->  Functions -> SOLUTION: Hello, Need help finishing my assignment. i am stuck on a domain question? Find the domain of the following: f(t)= log(t-5) I answered ( is all positive values such that (t-5)>0      Log On


   

Question 147813: Hello, Need help finishing my assignment. i am stuck on a domain question?
Find the domain of the following: f(t)= log(t-5) I answered ( is all positive values such that (t-5)>0 or t>5. Is this correct?
g(x)=5e^x I answered all real numbers except 0?
g(x)= ln(x+4) i don't know this one
g(t)=5^t I answered all real numbers except 0
Please help. Thank you.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
f(t)= log(t-5):
Domain: t>5

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g(x)=5e^x:

Domain: All real numbers (including zero)

You can plug in zero and get a real number as an output (ie it's not undefined).

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g(x)= ln(x+4)

Think of ln(x+4) as log(x+4) and use the same technique as the first problem.

Domain: x>-4

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g(t)=5^t


Domain: All real numbers (including zero)

Once again, you can plug in zero and get a real number as an output.