Respuesta :

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