The graph of the function f and a table of values for the fu

The graph of the function f and a table of values for the function g are shown above. What is the value of f(g(0)) ? (A) -4 (B) -2 (C) 0 (D) 2 (E) 4

Solution

From looking at the table:
g(0) = 2

now if you look at the graph and on the x axis go to 2. Now where x = 2, draw a vertical line. Where your vertical line intersects with the graph is the coordinate (2, f(2)). What you find for F(2) ....?

Line will intersect the graph at -2

so f(g (0)) = -2