ANSWER
The domain is all real numbers
EXPLANATION
The domain of a function refers to all values of
[tex]x[/tex]
that make the function defined.
The function given to us is
[tex]y = 2 {e}^{x} [/tex]
The above function is an exponential function.
All exponential functions are continuous functions.
This means the function is defined everywhere. There is no break in the graph of this function.
Therefore the domain is the entire real numbers.
In interval form we write it as
[tex] (-\infty ,+\infty )[/tex]
We can also write the domain as,
[tex]x \in R[/tex]
