______________________________________
We are given four equations:
f(0) = g(0)
f(-2) = g(-2)
f(0) = g(-2)
f(-2) = g(0)
______________________________________
From the first two equations, we can say that f(x) = g(x) for some values of x. This is because the two equations have the same input (0 and -2) and the same output (f(0) = g(0) and f(-2) = g(-2)).
______________________________________
However, we cannot make any conclusions about f(0) = g(-2) or f(-2) = g(0) based on this information alone. These equations do not have the same input and output, so we cannot say that they are equal.
______________________________________
Therefore, the only conclusion we can make is that f(x) = g(x) for some values of x.