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Verified answer
Fog(x)=2x^2-4x+3f(gx)=2x^2-4x+3
2(gx)+7=2x^2-4x+3
2gx=2x^2-4x+-4
gx=2x^2-4x-2
F(g(x))=2x²-4x+3
2[g(x)]+7=2x²-4x+3
2[g(x)]=2x²-4x-4
g(x)=x²-2x-2