If $LaTeX: \displaystyle f(x)=\frac{2}{5 x - 3}$ and $LaTeX: \displaystyle g(x)=\sqrt{x}$ find $LaTeX: \displaystyle (f\circ g)(x)$ .

Evaluating $LaTeX: \displaystyle f(x)$ at $LaTeX: \displaystyle g(x)$ gives $LaTeX: \displaystyle (f\circ g)(x)=f(g(x))=\frac{2}{5 \sqrt{x} - 3}$ .