Home/Differential Calculus/Composition and inverse/Formula1.3. Composition and inverseFormulaIn 1.3. Composition and inverseFormulaCopy LaTeX(f∘g)(x)=f(g(x))(f\circ g)(x)=f(g(x))(f∘g)(x)=f(g(x))TagsDifferential calculusDomainFunctionsNotationComposition and inverseDetailFunction composition; requires x∈Dom(g)x\in\operatorname{Dom}(g)x∈Dom(g) and g(x)∈Dom(f)g(x)\in\operatorname{Dom}(f)g(x)∈Dom(f).VariablesxxxIndependent variablefffFunctiongggSecond function or inner compositionFound an error? Contact us.Related formulasRelatedFormulaf(f−1(y))=y,f−1(f(x))=xf(f^{-1}(y))=y,\qquad f^{-1}(f(x))=xf(f−1(y))=y,f−1(f(x))=xOpen formulaOpen in section