Write the function as the composition of two functions $f$ and $g$ such that $y=f[g(x)].$

$y=(x^{\frac{1}{2}}+3{)}^3+2(x^{\frac{1}{2}}+3{)}^2-1$

$f(x)=(x+3{)}^3+2x^2-1,g(x)=x^{\frac{1}{2}}$

$f(x)=(x+3{)}^3+2(x+3{)}^2-1,g(x)=x^{\frac{1}{2}}+3$

$f(x)=x^{\frac{1}{2}}+3,g(x)=x^3+2x^2-1$

$f(x)=x^3+2x^2-1,g(x)=x^{\frac{1}{2}}+3$