ANSWER
[tex]\frac{F}{G} ( - 1) = - \frac{ 2}{ 3}[/tex]
EXPLANATION
The given functions are:
[tex]F(x)=2x[/tex]
and
[tex]G(x)= {x}^{2} + 2[/tex]
[tex] \frac{F}{G} (x) = \frac{F(x)}{G(x)} [/tex]
[tex] \frac{F}{G} (x) = \frac{2x}{ {x}^{2} + 2 }[/tex]
Substitute x=-1
[tex] \frac{F}{G} ( - 1) = \frac{2( - 1)}{ {( - 1)}^{2} + 2 }[/tex]
[tex] \frac{F}{G} ( - 1) = \frac{ - 2}{ 1+ 2 }[/tex]
[tex]\frac{F}{G} ( - 1) = - \frac{ 2}{ 3}[/tex]
The first choice is correct.
