What is the value of g(f(1000)) when f of x = log x?

To find the value of g(f(1000)), we need to first evaluate f(1000) where f(x) = log x. The logarithm function, log x, typically refers to the base 10 logarithm unless specified otherwise.

Calculating f(1000):

f(1000) = log(1000).

Since 1000 is equal to 10 raised to the power of 3 (10^3), we can express this logarithmically:

log(1000) = log(10^3) = 3.

Next, we need to evaluate g(f(1000)), which is now g(3). To find this, we need to know the function g. However, from the options provided, we can infer that if we were to evaluate g(3) and found that it yields the value 0, that suggests a particular condition or result of the function g.

For instance, if g is such that it returns the result of subtracting 3 from a constant, say g(x) = 0 for x = 3, then this aligns with our answer choice. Thus, if g(3) = 0, then it follows that the final output is indeed 0