Given the following functions f(x) and g(x), solve (f/g)(-3) and select the correct answer below:

f(x) = 6x + 8

g(x) = x - 2


A: -2
B: -1/2
C: 1/2
D: 2

Respuesta :

We are given the functions:

f(x) = 6x + 8
g(x) = x – 2

The first step in solving this problem is to find for the value of (f / g) (x) given the two functions above. Now finding for (f / g) (x), we can see that if we distribute x inside (f / g) we get f (x) / g(x)

therefore,

(f / g) (x) = f (x) / g (x) 

= (6 x + 8) / (x – 2)

Substituting x = -3 will give us:

(f / g) (- 3) = [6 (- 3) + 8] / (- 3 -2)

(f / g) (- 3) = 2

 

Answer:

D: 2