The expression f(x)=g(x) indicate the points in the graph where the two functions intersect, i.e. when they cross
In this graph, g(x) cuts f(x) in two points (-4,4) and (0,4)
Now f(x) is a contstant, it has no slope and is equal to 4, always.
Since g(x) cuts f(x) in point (-4,4), you can say that f(-4)= g(-4)
Second cut is in point (0,4), this means f(0)= g(0)
The correct option is number 2 f(-4)= g(-4) and f(0)= g(0)