Let `A = {-1, 0, 1, 2}`, `B = {-4, -2, 0, 2}`and `f,g: A -> B`be functions defined by `f(x)=x^2-x ,x in A`and `g(x)=2|x-1/2|-1, x in A`. Are `f` and `g` equal? Justify your answer.

Explanation

To determine whether the functions \( f \) and \( g \) are equal, we need to evaluate both functions for all elements in the set \( A \) and compare their outputs.

### Step 1: Define the sets and functions
Let:
- \( A = \{-1, 0, 1, 2\} \)
- \( B = \{-4, -2, 0, 2\} \)
- \( f(x) = x^2 - x \) for \( x \in A \)
- \( g(x) = 2|x - \frac{1}{2}| - 1 \) for \( x \in A \)
...