Question

F(x) = (x - 3)

Restrict the domain of the function f so that the function is one-to-one and has an inverse function.
A. x ≤ 3
B. x > 3
C. x ≥ 3
D. x ≠ 3

Answer 1

The function f(x) = (x - 3) is already one-to-one and has an inverse function, so there is no need to restrict the domain.

Step-by-step explanation:

To make a function one-to-one and have an inverse function, we need to restrict the domain so that no two different x-values produce the same y-value. In other words, we need to avoid any horizontal lines on the graph of the function. In this case, the function f(x) = (x - 3) is already one-to-one and has an inverse function. Therefore, there is no need to restrict the domain.