Question

3. (07.09)Given the following functions f(x) and g(x), solve(-3) and select the correct answer below: (1point)f(x) = 6x + 8=g(x) = x - 2O-2NI2.0INO 2

Answer 1

Knowing the functions f(x) and g(x), we can express (f/g)(x) as:

$\frac{f}{g}(x)=\frac{f(x)}{g(x)}=\frac{6x+8}{x-2}$

we then can calculate (f/g)(-3) by replacing x with -3:

$\begin{gathered} \frac{f}{g}(-3)=\frac{6(-3)+8}{-3-2} \\ \frac{f}{g}(-3)=\frac{-18+8}{-5} \\ \frac{f}{g}(-3)=\frac{-10}{-5} \\ \frac{f}{g}(-3)=2 \end{gathered}$

Answer: (f/g)(-3) = 2