(1 point)
Let $f(x)=\frac{1}{x-5}$ and $g(x)=\frac{2}{x}-9$.
- $(f \circ g)(x)=$ help (formulas)
- $(g \circ f)(x)=$ help (formulas)

Step 1 ：Let \(f(x)=\frac{1}{x-5}\) and \(g(x)=\frac{2}{x}-9\).

Step 2 ：The composition of functions is a concept in mathematics where you apply one function to the results of another function. In this case, we are asked to find \((f \circ g)(x)\) and \((g \circ f)(x)\).

Step 3 ：For \((f \circ g)(x)\), this means we need to substitute \(g(x)\) into \(f(x)\).

Step 4 ：For \((g \circ f)(x)\), this means we need to substitute \(f(x)\) into \(g(x)\).

Step 5 ：The composition of \(f\) and \(g\) is \((f \circ g)(x) = \frac{-x}{14x - 2}\) and the composition of \(g\) and \(f\) is \((g \circ f)(x) = 2x - 19\).

Step 6 ：So, the final answers are \(\boxed{(f \circ g)(x) = \frac{-x}{14x - 2}}\) and \(\boxed{(g \circ f)(x) = 2x - 19}\).