If $LaTeX: \displaystyle f(x)=\sqrt{x}$ and $LaTeX: \displaystyle g(x)=- \frac{3}{5 - 6 x}$ find $LaTeX: \displaystyle (f\circ g)(x)$ .

Evaluating $LaTeX: \displaystyle f(x)$ at $LaTeX: \displaystyle g(x)$ gives $LaTeX: \displaystyle (f\circ g)(x)=f(g(x))=\sqrt{3} \sqrt{- \frac{1}{5 - 6 x}}$ .