📖Glossary📖

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Composite function : The composite function $h=f\circ g$ is defined by $h(x)=f(g(x)).$ For example for the functions $f(x)=x^2$ and $g(x)=x+1$ the composite function $h=f\circ g$ is the function $h(x)=(x+1)^2.$ The composite function of two continuous functions is continuous. The composite function of two differentiable functions is differentiable and the derivative can be calculated using the chain rule.