composition of f(x)=2x^2 and g(x)=x+3

(fog)(x)=2(x+3)²
=2(x+3)(x+3)

=2x²+12x+18

composition of f(x)=2x^2 and g(x) = x+3 (fog)(x)=?

\(\begin{array}{|rcll|} \hline f(x)=2x^2 \\ g(x)= x+3 \\ && (f\circ g)(x) \\ &=&f\left(\small{g(x)}\right) \\ &=&f\left(\small{x+3}\right) \\ &=& 2\cdot (x+3)^2 \\ &=& 2\cdot (x^2+6x+9) \\ &=& 2x^2+12x+18 \\ \hline \end{array} \)