Algebra-2

The answer to the question is D, which means that f[g(x)] and g[f(x)] should equal x if the functions f(x) = 3x - 5 and g(x) = (1/3)(x + 5) are indeed inverses of each other. This is because for two functions to be inverses, when you compose them (apply one function followed by the other), the result should be the input value x.

f[g(x)]:
Substitute g(x) = (1/3)(x + 5) into f(x):
f[g(x)] = f[(1/3)(x + 5)] = 3[(1/3)(x + 5)] - 5 = (x + 5) - 5 = x