Functions

Given two functions, \(f(x)\) and \(g(x)\), both functions can create composite functions \(fg\) and \(gf\).

Composite function \(fg\)

Composite function of \(fg\) can be formed by substituting the function of g into the function of f.

One condition must be satisfied, range of g is within the domain of f (\(R_g \subseteq D_f\))

Composite function \(gf\)

Composite function of \(gf\) can be formed by substituting the function of f into the function of g.

One condition must be satisfied, range f is within the domain of g (\(R_f \subseteq D_g\))