Question

F(x) = |_x/2_| from Z to Z. F(x) is invertible.
true or false

Answer 1

The given function f(x) = |_x/2_|, where |_ x/2_| represents the greatest integer less than or equal to x/2, is invertible.

Step-by-step explanation:

The given function is f(x) = |_x/2_|, where |_ x/2_| represents the greatest integer less than or equal to x/2. In other words, it rounds x/2 down to the nearest whole number.

To determine if the function is invertible, we need to check if each element in the domain has a unique image in the range.

Since the function is defined from Z to Z (the set of integers), we can see that every integer x will map to a unique integer value in the range. Therefore, the function f(x) = |_x/2_| is invertible.