Answer
$\dfrac{7}{2}$
Work Step by Step
RECALL:
$(G/F)(x) = \dfrac{G(x)}{F(x)}$
Using the formula above gives:
$(F/G(x)
\\= \dfrac{G(x)}{F(x)}
\\=\dfrac{5-x}{x^2-2}$
To evaluate the given expression, substitute $-2$ to $x$ in the equation above to obtain:
$(G/F)(x)
\\=\dfrac{5-x}{x^2-2}
\\=\dfrac{5-(-2)}{(-2)^2-2}
\\=\dfrac{5+2}{4-2}
\\=\dfrac{7}{2}$
