Question

Given: F(x) = 2x and G(x) = x^2+ 2Find f/g(-1)

Answer 1

Given data:

$f(x)=2x,g(x)=x^2+2$

First find f( -1 ) and g( -1 ),

$\begin{gathered} f(-1)=2(-1) \\ =-2 \end{gathered}$$\begin{gathered} g(-1)=(-1)^2+2 \\ =1+2 \\ =3 \end{gathered}$

Therefore, we have

$\begin{gathered} \frac{f}{g}(-1)=\frac{f(-1)}{g(-1)} \\ =\frac{-2}{3} \end{gathered}$