Step-by-step explanation:
[tex]f(x) = {x}^{2} - 20 \\ \therefore \: f( - 4) = {( - 4)}^{2} - 20 \\ = 16 - 20 = - 4 \\ \\ g(x) = 20 - x \\ \therefore \:g( - 4) = 20 - ( - 4) \\ = 20 + 4 = 24 \\ \\ \bigg(\frac{f}{g} \bigg)( - 4) = \frac{ - 4}{24} = - \frac{1}{6} \\ [/tex]
