What is the domain of $g(x) = 3^(x+3)$ ?

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Answer 1 · 2017-04-14T07:57:37

$"D":{x inRR}$ .

Cool thing about this type of function, is that although the function does not touch the $x$ -axis, it's domain is not limited.

Thus, we have $"D":{x inRR}$ .

We can check this by graphing the function.
graph{3^(x+3) [-12.063, 3.96, -1.89, 6.12]}

As you can see, along the vertical axis, the $x$ -value continues to increase (slowly but surely).

Hope this helps :)

What is the domain of g(x) = 3^(x+3)g(x) = 3^(x+3)?