SOLUTION: 1) Find the domain of the following:
b) g(x)=5e^x
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Question 116012: 1) Find the domain of the following:
b) g(x)=5e^x
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
b)
If you have something like , then you have to keep in mind that since division by zero is undefined. If you have something like , then you have to keep in mind that since you cannot take the square root of a negative number. If you have something like or , then you have to keep in mind that since you cannot take the log of zero or a negative number. These are examples of restrictions of the domain.
Since the function 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 of
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Answer:
So the domain is the set of all real numbers. In other words, x can be any real number.
Here's the domain in interval notation:
)
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