![]() How to Find the Derivative of F of G of X?į of g of x is a composite function and so the chain rule of differentiation is used to find its derivative. To find the value of f(g(x)) for some x = k: So the range of f(g(x)) is found just like the range of any other function. The range of f(g(x)) doesn't depend on either the range of f or the range of g. Find f(g(x)) algebraically and find its domain.Find the domain of inner function g(x).g(f(x)) = a function obtained by replacing x with f(x) in g(x).įor example, if f(x) = x 2 and g(x) = sin x, then (i) f(g(x)) = f(sin x) = (sin x) 2 = sin 2 x whereas (ii) g(f(x)) = g(x 2) = sin x 2.f(g(x)) = a function obtained by replacing x with g(x) in f(x)."f of g of x" is written as f(g(x)) and "g of f of x" is written as g(f(x)). What is the Difference Between F of G of x and G of F of x? To find f(g(x)), we just substitute x = g(x) in the function f(x). What is the Process of Finding F of G of x? It is obtained by replacing x in f(x) with g(x). So we just compute the range of f(g(x)) using the techniques of finding the range of a function.įAQs on F of G of x What is the Definition of F of G of x?į of G of X is written as f(g(x)) and it is called a composite function. The range of f of g of x does not depend upon the inner function. So for f(g(x)) to exist at some x value, g(x) should exist first at at that x value. Step 3: Find their intersection (A ∩ B) which gives the domain of f(g(x))Įxample: Find the domain of f(g(x)) when f(x) = 2/(x - 1) and g(x) = 3/(x - 2).į(g(x))
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