Question

The domain of the function f(x) is [6, ∞), and the range is [-3, ∞). What are the domain and range of the function f -1(x)?

Answer 1

The domain becomes the range and vice versa, so the domain is
`[-3,\infty)` and the range is
`[6,\infty)`.

Answer 2

Domain of the function
`f^(-1)(x)` is
`[-3,\infty )` and range of the function is
`f^(-1)(x)` is
`[6,\infty )`.

Step-by-step explanation:

Consider the provided information.

The domain of the function
`f(x)` is
`[6,\infty )`.

The range of the function
`f(x)` is
`[-3,\infty )`.

The range of a function
`g(x)` is the domain of the function
`g(x)^(-1)`.

Also, the domain of a function
`g(x)` is the range of the function
`g(x)^(-1)`.

Therefore, domain of the function
`f^(-1)(x)` is
`[-3,\infty )` and range of the function is
`f^(-1)(x)` is
`[6,\infty )`.