Given:
![y=2((1)/(9))^(x-5)-4](https://img.qammunity.org/2023/formulas/mathematics/college/lpdluwrtwioiyam7uqtunrm3qw3w6hg71k.png)
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.
![\text{Domain}=(-\infty,\text{ }\infty)](https://img.qammunity.org/2023/formulas/mathematics/college/yq07ri29m0jbse064we9d5lbdnvf23cldu.png)
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