Answer
$\dfrac{6x+6}{x(x+3)}$
Work Step by Step
We are given the function $ T(x)=\dfrac{4}{x+3}+\dfrac{2}{x}$
This implies that $ T(x)=\dfrac{4}{x+3}+\dfrac{2}{x}=\dfrac{4x+2(x+3)}{x(x+3)}$
Therefore, $ T(x)=\dfrac{4x+2x+6}{x(x+3)}=\dfrac{6x+6}{x(x+3)}$
