We are given the functions:
f(x) = 6x + 8 --->
1
g(x) = x – 2 ---> 2
To solve for the value of f over g(-3) or (f / g) (-3), we must first find
(f / g) (x). We can do this by dividing equation 1 by equation 2:
(f / g) (x) = f (x) / g (x)
(f / g) (x) = (6 x + 8) / (x – 2)
Now we plug into the equation the value of x, x = - 3
(f / g) (- 3) = (6 * (-3) + 8) / (- 3 – 2)
(f / g) (- 3) = (- 18 + 8) / (- 5)
(f / g) (- 3) = - 10 / - 5
(f / g) (- 3) = 2
Answer:
2
