Question #125344

Given that f(x) = (4 − x2)^1/2 and h(x) = (3 − x)^1/2, Find foh(x).

Expert's answer

if x2 means x^2 then

foh(x)=f(h(x))=4(3x)2=4(3x)=1+xfoh(x) = f(h(x))= \sqrt{4 - (\sqrt{3-x})^2} = \sqrt{4-(3-x)}=\sqrt{1+x}

if x2 means x*2 then

foh(x)=4(3x)2foh(x)=\sqrt{4-(\sqrt{3-x})*2}


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