Answer: First option:
[tex]f (0) = g (0)[/tex]
Step-by-step explanation:
We have the graph of two intersecting lines.
f(x) and g(x)
By definition the lines intersect at the point where [tex]g (x) = f (x)[/tex].
You can see in the graph that this occurs when [tex]x = 0[/tex] and [tex]y = -2[/tex]. This is the point (0, -2).
Therefore it is true that [tex]f (0) = g (0) = -2[/tex]
Then the correct option is the first option: [tex]f (0) = g (0)[/tex]
