Final answer:
The new input of the given function k(x) = -x/2 - 1 is x + 1.
Step-by-step explanation:
The given function is k(x) = -x/2 - 1. To find the new input of this function, we need to substitute x with a new value. Let's say the new input is n.
So, the function becomes k(n).
The new input can be any value we choose. It could be a number, a variable, or an expression.
For example, if we choose the new input as x + 1, then the function becomes k(x + 1).
In this case, the new input of the function k(x) = -x/2 - 1 would be x + 1. Therefore, the correct option is a. x/2 + 1.