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:

Step-by-step explanation:
![[ \ x^ 2- 1 = (x-1)(x + 1) \ ]](https://tex.z-dn.net/?f=%5B%20%5C%20x%5E%202-%201%20%3D%20%28x-1%29%28x%20%2B%201%29%20%5C%20%5D)
![[\ Taking \ LCM \ ]](https://tex.z-dn.net/?f=%5B%5C%20Taking%20%5C%20LCM%20%5C%20%20%5D)

<em><u>Finding LCM :</u></em>
Example :
6 = 2 x 3
3 = 1 x 3
[ To make the denominators same : the second fraction is multiplied and divided by 2 ]
Similarly :

Same rule we applied : multiplied the numerator and denominator of the second term with ( x - 1 )
Therefore the second term becomes ,

P.E.M.D.A.S
First , you multiply.
200+(-16)4
200+(-64)
Since they have different signs, you subtract and keep the sign of the greater absolute value.
200+(-64)=136
Answer:
They partially dissocate in water ( first choice)