Question

Functions f and g (any two functions) are inverses if

Answer 1

Functions f and g are inverses if f(g(x)) = g(f(x)) = x for all values of x in the domain of g.

Step-by-step explanation:

Functions f and g are inverses if f(g(x)) = g(f(x)) = x for all values of x in the domain of g. In other words, if applying one function after the other gives the original input value. For example, if f(x) = 2x and g(x) = x/2, then f(g(x)) = 2(x/2) = x and g(f(x)) = (2x)/2 = x, showing that f and g are inverses.