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

1 Answer
Apr 14, 2017

#"D":{x inRR}#.

Explanation:

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 :)