If f(x)=x2+4,x≥0\displaystyle {f{{\left({x}\right)}}}={x}^{{2}}+{4},{x}\ge{0} and g(x)=x−4\displaystyle {g{{\left({x}\right)}}}=\sqrt{{{x}-{4}}},

(a) (f∘g)(x)=\displaystyle {\left({f}\circ{g}\right)}{\left({x}\right)}=  

(b) (g∘f)(x)=\displaystyle {\left({g}\circ{f}\right)}{\left({x}\right)}=  

(c) Thus g(x)\displaystyle {g{{\left({x}\right)}}} an inverse function of f(x)\displaystyle {f{{\left({x}\right)}}}

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