Question

What is the domain of f(x)=(1/4)^x

Answer 1

All real numbers. There is no real number that can't be put into this equation. 

Answer 2

All real numbers form the domain.

Explanation:

The given function is

`f(x)=((1)/(4))^(x)`

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

`D= x \in R`

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.