Find all functions $g$ such that

$g^{\text{'}}(x)=\frac{5x^2+4x+5}{\sqrt[\phantom{2}]{x}}$

$g(x)=2\sqrt[\phantom{2}]{x}(x^2+\frac{4}{3}x-5)+C$

$g(x)=2\sqrt[\phantom{2}]{x}(5x^2+4x+5)+C$

$g(x)=\sqrt[\phantom{2}]{x}(x^2+\frac{4}{3}x+5)+C$

$g(x)=\sqrt[\phantom{2}]{x}(5x^2+4x+5)+C$

$g(x)=2\sqrt[\phantom{2}]{x}(5x^2+4x-5)+C$

$g(x)=2\sqrt[\phantom{2}]{x}(x^2+\frac{4}{3}x+5)+C$