If f(x)=2x^2 +4 and g(x)=x-3,which number satisfies f(x)=(f•g) (x)

1 answer:

8 0

$(f\cdot g)(x)=f(x)\cdot g(x)\\\\
(f\cdot g)(x)=(2x^2+4)(x-3)\\
(f\cdot g)(x)=2x^3-6x^2+4x-12\\\\
2x^2+4=2x^3-6x^2+4x-12\\
2x^3-8x^2+4x-16=0\\
2x^2(x-4)+4(x-4)=0\\
(2x^2+4)(x-4)=0\\
2(x^2+2)(x-4)=0\\
\boxed{x=4}$

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