Answer:
All real numbers form the domain.
Step-by-step explanation:
The given function is
[tex]f(x)=(\frac{1}{4})^{x}[/tex]
This is an exponential function, because it has the variable as exponent, and the base is a constant.
Now, when the base of an exponential function is between 0 and 1, that function is decreasing. So, in this case, we have a decreasing exponential function.
Additionally, the domain is defined as the set of x-values where the function is well defined.
In this case, the domain is
[tex]D= x \in R[/tex]
So, the domain doesn't have any restricition.
The image attached show the graph of this function, there you can notice the lack of restrictions at the domain set.
