Consider the functions f(x)=−4x+6\displaystyle {f{{\left({x}\right)}}}=-{4}{x}+{6}  and g(x)=−x−3\displaystyle {g{{\left({x}\right)}}}=\sqrt{{-{x}-{3}}} .  Determine each of the following.

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

Give the domain of f∘g(x)\displaystyle {f}\circ{g{{\left({x}\right)}}}.   


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

Give the domain of g∘f(x)\displaystyle {g}\circ{f{{\left({x}\right)}}} .   

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