Final answer:
To calculate f (g(3)), first find g(3) which is -1 and then apply it to the function f(x) to get f(-1), which results in a final answer of -2.
Step-by-step explanation:
To find f (g(3)), first evaluate g(3) using the function g(x) = x – 4. Then, use that result as the input for the function f(x), which is given as f(2) = 2x (although this seems like a typo, as normally f(x) would be defined for all x, not just f(2)).
g(3) = 3 – 4 = -1. So now we have f (g(3)) = f(-1). Assuming f(x) represents a linear function and considering f(2) = 2 × 2 = 4, it's logical to assume the f(x) should be f(x) = 2x. Inserting -1 into f(x), we get: f(-1) = 2 × (-1) = -2.
Therefore, f (g(3)) = -2.