Question

Suppose that the functions g and f are defined as follows:

g(x)= (x-6) (x-5)

f(x)= 3x-8

Find: (g/f)*(−1)

Answer 1

`((g)/(f) ) (-1) = -(42)/(11)`

Explanation:

`((g)/(f) ) (-1)` is just fancy notation for
`(g(-1))/(f(-1))`. We can evaluate each of these separately:

• 
  `g(-1) = (-1-6)(-1-5) = (-7)(-6) = 42`
• 
  `f(-1) = 3(-1) -8 = -3-8 = -11`

Therefore
`((g)/(f) ) (-1) = -(42)/(11)`