Given:
[tex]y=2(\frac{1}{9})^{x-5}-4[/tex]Here, domain set of x values at whcih the function is defined
So, x can take any values from all real numbers
Hence, the domain of the given function is real numbers.
[tex]\text{Domain}=(-\infty,\text{ }\infty)[/tex]The range can be found out as,
The maximum value of an exponential function approches to infinity when x is equal infinity and the minimum value of an exponential function approches to