Question

What are the domain and range of the functions f(x)==4(³.)

Answer 1

x , y>0

Explanation:

Given f(x) where:

`f(x)=4\mleft(\sqrt[3]{81}\mright)^x`

We want to determine the domain and range of f(x).

Domain

The domain of a function is the set of all the possible values of x for which the function is defined.

In f(x), x can take on any value, therefore, the domain is:

`\{x|x\text{ is a real number}\}`

Range

The range of a function is the set of all the possible values of f(x) for which the function is defined.

The value of f(x) will always be greater than 0. Therefore, the range of the function is:

`\y>0\`

The first option is correct.