Suppose that f (x )is the inverse of g (x )and g (x )is the inverse of f (x ). Then f (g (x ))equals

Answer:f(g(x)) = xStep-by-step explanation:The inverse of a function is a function that "reverses" the other one, meaning that if I input a value x to the first function and get the result y on the second function, I can put the same y value to the second function and it will give me the first x value again. In this problem we have that: f(x) is the inverse of g(x) ⇒ f (x) = g⁻¹(x)g(x) is the inverse of f(x) ⇒ g(x) = f ⁻¹(x)The problem asks us to find f(g(x))f(g(x)) = f(f ⁻¹(x)) = xTherefore, f(g(x)) = x