Question: are f and g inverses?
Answer: So we see that functions f and g are inverses because f ( g ( x ) ) = x f(g(x))=x f(g(x))=xf, left parenthesis, g, left parenthesis, x, right parenthesis, right parenthesis, equals, x and g ( f ( x ) ) = x g(f(x))=x g(f(x))=xg, left parenthesis, f, left parenthesis, x, right parenthesis, right parenthesis, equals, x.