Final answer:
The question cannot be answered without additional information about the function f.
Step-by-step explanation:
We are given that the slope of the graph of function g is 4 times the slope of the graph of function f. Let's represent the slope of f as m.
Since the slope of g is 4 times the slope of f, the slope of g can be written as 4m.
If the graph of g passes through the point (0, -4), we know that when x = 0, y = -4. This gives us the y-intercept of the graph of g.
Now, we can determine the equation of the graph of g and find the value of g(9). Unfortunately, the equation of f or any other information about it is not provided, so we cannot proceed.