Which statement verifies that f(x) and g(x) are inverses of each other?
f(g(x)) = x
f(g(x)) = x and g(f(x)) = –x
f(g(x)) = g(f(x)
f(g(x)) = x and g(f(x)) = x

AN   inverse function  is a function that "reverses" another function that is : f(x) = y if and only if g(y) = x.

The statement f(g(x))=x means  f is the inverse of g.

Two functions are inverse of each other if it satisfies the property f(g(x))=x and g(f(x)) =x .

In the given options the last option f(g(x)) = x and g(f(x)) = x verifies that f(x) and g(x) are inverses of each other .

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