Final answer:
Due to a syntax issue with the function f(-x), expressed as V0.422 - I, it is not possible to properly evaluate f(g(20)). The ambiguity of the function prevents us from determining the value confidently among the provided options.
Step-by-step explanation:
The question asks us to find the value of f(g(20)). To do this, we first need to evaluate g(20), which is given by the function g(x) = (2x + 2) / (x - 6). Let's calculate this value:
g(20) = (2*20 + 2) / (20 - 6) = (40 + 2) / 14 = 42 / 14 = 3
Now that we have g(20) = 3, we need to calculate f(-x) for this value. According to the given information, f(-x) = V0.422 - I, where V0.422 likely represents a constant number, and I could be the imaginary unit. However, there is a syntax issue with the expression given for f(-x); without the correct mathematical notation for the square root, this part of the function is ambiguous. Assuming that V0.422 is an approximation of the square root of 0.422 or similar expression, this would not mathematically work out with the provided option values anyway. Therefore, we are unable to continue with the calculation due to the typo or omission.