SOLUTION: Find the domain of g(t)=5^t? Is the answer t is the set of all real numbers?

Question 147786: Find the domain of g(t)=5^t? Is the answer t is the set of all real numbers?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Looking at , we can see that there are no square roots, logs, and other functions where there are restrictions on the domain.

Also, we can see that the function does not have a division by t (or any combination of variables and constants).
So we don't have to worry about division by zero.

Since we don't have any restrictions on the domain, this shows us that the domain is all real numbers. In other words, we can plug in any number in for t

So the domain of the function in set-builder notation is:

In plain English, this reads: t is the set of all real numbers (In other words, t can be any number)

So you are correct

Also, in interval notation, the domain is:

RELATED QUESTIONS
Hello, Need help finishing my assignment. i am stuck on a domain question? Find the... (answered by jim_thompson5910)

find the domain of g9x) = 5e^x and g(t) = 5^t I belive both are all real numbers,... (answered by stanbon)

Find the domain of the following:... (answered by jim_thompson5910)

find the domain of the following:... (answered by bucky)

Find the domain of g(t) =... (answered by gonzo)

Here is my math problem: Find the domain of the following a) f(t) = log(t - 5)... (answered by MRperkins)

Find all valves k so that the natural domain of the following function is all real... (answered by stanbon)

Find the domain of the function g(t) = √t −1/ 5−t (answered by Boreal)

Please help I'm having a problem with domains. Find the domain of the following:... (answered by edjones)