The answer is: 
<u><em>Explanation</em></u>
Given functions are.......


For finding
, we just <u>need to multiply the two functions</u>
and
. So......
![(f*g)(x)= f(x)*g(x)\\ \\ (f*g)(x)= (x^2-7x+12)(\frac{3}{x^2-16})\\ \\ (f*g)(x)= [(x-3)(x-4)][\frac{3}{(x+4)(x-4)}]\\ \\ (f*g)(x)= \frac{3(x-3)}{x+4} = \frac{3x-9}{x+4}](https://tex.z-dn.net/?f=%28f%2Ag%29%28x%29%3D%20f%28x%29%2Ag%28x%29%5C%5C%20%5C%5C%20%28f%2Ag%29%28x%29%3D%20%28x%5E2-7x%2B12%29%28%5Cfrac%7B3%7D%7Bx%5E2-16%7D%29%5C%5C%20%5C%5C%20%28f%2Ag%29%28x%29%3D%20%5B%28x-3%29%28x-4%29%5D%5B%5Cfrac%7B3%7D%7B%28x%2B4%29%28x-4%29%7D%5D%5C%5C%20%5C%5C%20%28f%2Ag%29%28x%29%3D%20%5Cfrac%7B3%28x-3%29%7D%7Bx%2B4%7D%20%3D%20%5Cfrac%7B3x-9%7D%7Bx%2B4%7D)
Answer:
8710 units
Step-by-step explanation:
<em>Step 1: Write all the data</em>
Fixed cost: $9000
Average variable cost: 9.3 per unit
Total cost: 90,000
Total units: x
<em>Step 2: Find the total variable cost</em>
Average variable cost is per unit so it has to be multiplied by the number of units to find the total variable cost.
Total variable cost = average variable cost per unit x number of units
Total variable cost = 9.3x
<em>Step 3: Make the formula for finding x</em>
Total cost = total fixed cost + total variable cost
90,000 = 9000 + 9.3x
81000 = 9.3x
x = 8709.67
Rounded off to 8710 units
!!
To find this answer I can use inverse equations. First subtract 6 from 34, which is 28. Then, divide 28 by 4 and you get 7. x = 7