Answer
$-\dfrac{1}{6}$
Work Step by Step
RECALL:
$(F/G)(x) = \dfrac{F(x)}{G(x)}$
Using the formula above gives:
$(F/G)(x)
\\= \dfrac{F(x)}{G(x)}
\\=\dfrac{x^2-2}{5-x}$
To evaluate the given expression, substitute $-1$ to $x$ in the equation above to obtain:
$(F/G)(x)
\\=\dfrac{x^2-2}{5-x}
\\=\dfrac{(-1)^2-2}{5-(-1)}
\\=\dfrac{1-2}{5+1}
\\=\dfrac{-1}{6}
\\=-\dfrac{1}{6}$
