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g (f(x)) = 4x² + 2x -3
g (2x-3) = 4x² +2x - 3
g (a) = 4(a+3/2)² + 2(a+3/2) -3
= 4 ((a+3)²/ 2² ) + a+3 - 3
= (a+3) (a+3) + a
= a²+3a+3a+9+a
=a²+7a+9
g(x) = x²+7x+9