Answer:
All real numbers
Step-by-step explanation:
The given exponential function is
[tex]y = {3}^{x} - 2[/tex]
This function is obtained by shifting, the parent function down by 2 units.
The parent function is
[tex]y = {3}^{x} [/tex]
The domain is the values of x for which the function is defined.
The exponential function is defined everywhere and the same applies to the transformed function.
Therefore the domain is all real numbers.