We know that the graph of g(x) is the result of a shift of 2 units down from f(x).
Then, f(x) and g(x) are related by:

Taking the derivative:

This is because the derivative of a constant number is 0. Finally, evaluating at x = 2:
There is no solution to this, due to X can be equal anything. Hope this helps!
It’s false!!! Hope this helped;)