Answer:
Option 1 that is all real numbers is the domain for the given function.
Explanation:
We have been given the expression:
![(-5)/(6)\cdot [((3)/(5))^x]](https://img.qammunity.org/2018/formulas/mathematics/high-school/t0m1mh162zft428zj6ih9hu4y3ahka39zg.png)
Domain is the values that x will take
Here, x can take all the values, negative,positive,fractional any value
Hence, domain of the function is all real numbers.
Therefore, option 1 is correct.
And by the same reasons all the other three option 2,3 and 4 are discarded.