$f(x) = x -3 $
Work Step by Step
$(f ∘ g)(x) = x^2$ $g(x)=x^2+3$ $(f ∘ g)(x) = f(g(x)) = f(x^2+3) = x^2$ Therefore lets choose $f(x) = x -3 $ $(f ∘ g)(x) = f(g(x)) = f(x^2+3) =(x^2+3) -3= x^2$
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