SOLUTION: Find the domain of the following: g(t)=5^t

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Question 116015: Find the domain of the following:

g(t)=5^t
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
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If you have something like 1%2Fx, then you have to keep in mind that x%3C%3E0 since division by zero is undefined. If you have something like sqrt%28x%29, then you have to keep in mind that x%3E=0 since you cannot take the square root of a negative number. If you have something like log%28x%29 or ln%28x%29, then you have to keep in mind that x%3E0 since you cannot take the log of zero or a negative number. These are examples of restrictions of the domain.



Since the function g%28t%29=5%5Et does not have a division by x, a square root, or a logarithm function, this means we don't have to worry about domain restrictions.

Also, notice if we graph the function, we can see that there are no domain restrictions:

+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+5%5Ex%29+ Graph of g%28t%29=5%5Et

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Answer:

So the domain is the set of all real numbers. In other words, t can be any real number.

Here's the domain in interval notation: