Question

Given a function f(x) and another funtion g(x).
If f(100) = 2 and g(2) = 100, then f and g are ????

Answer 1

seems like they are inverse of each other...

f(100) = 2

or f [g(2)]=2

A plausible condition for this is if g(x) = f^-1 (x).... but remember that this is not a necessary condition but yet sufficient

Answer 2

this is sort of a strange question because it does not mean for sure they are inverse
f(x) = 200/x
g(x) = 50x
these are not inverse relations but hold true for the question.