Question

What is the domain of f(x)=(1/2)^x

O a.x<0
B. All real numbers
c. x> 0
O D. y>0​

Answer 1

B. All real numbers

Explanation:

Given:

The function is given as:

`f(x)=((1)/(2))^x`

Domain is the input to a function represented by the values of 'x'. The domain defined a function's output which is also called as the range of the function.

The above function is an example of an exponential function. An exponential function is of the form:

`f(x)=a^x` Where, 'a' is any number greater than 0.

Here,
`a=(1)/(2)=0.5>0`

The domain of an exponential function is not restricted and includes all real values. But, the range of an exponential function is always a positive number.

Hence, the domain of the given exponential function is not restricted and include all real numbers. So, option B is correct.

A graph of an exponential function is attached to support the answer.