Subtract. \( \begin{array}{l}\frac{x^{2}-x+3}{x^{2}+2 x-8}-\frac{x^{2}-3 x-5}{x^{2}+2 x-8} \\ \frac{1}{x-1} \\ \frac{2}{x-2} \\ \frac{2 x-2}{x^{2}+2 x-8} \\ \frac{2}{x+4}\end{array} \)

Divide using synthetic division. \( \left(5 x^{5}+6 x^{4}-3 x^{3}+x^{2}-x+44\right) \div(x+2) \)

Use the given conditions to write an equation for the line in the indicated form. Passing through \( (4,2) \) and parallel to the line whose equation is \( y=-2 x+3 \) point-slope form

Use the Rational Zero Theorem to list all possible rational zeros for the given function. \( f(x)=11 x^{3}-x^{2}+3 \)

\( -10 \% \) Find the domain of the function. \( g(x)=\frac{2 x}{x^{2}-36} \)

For the given functions \( f \) and \( g \), find the indicated composition. \( f(x)=\frac{x-9}{3}, g(x)=3 x+9 ;(g \circ f)(x) \)