Answer:
68
Step-by-step explanation:
I'm going to assume you meant "what is the value of f(g(-2))?"
g(-2) = 5(-2) + 4 = -6
f(-6) = 8 - 10(-6) = 68
Step-by-step explanation:
According to this description we need a number that can be divided by 2,3 and 4 since the amount of rocks can be described by a natural number. However if a number is divided by 4 it is divided by 2 as well since 2*2=4.
![\frac{x}{4} = \alpha \\ \frac{x}{2} = 2 \alpha](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B4%7D%20%20%3D%20%20%5Calpha%20%20%5C%5C%20%20%5Cfrac%7Bx%7D%7B2%7D%20%20%3D%202%20%5Calpha%20)
If α is a natural number then 2*α is a natural number as well as the product of two natural numbers.
Which means that we need a number devided by 3 and 4.
The smallest number that fulfills this demand is 3*4=12.
Also any product of 12 with any natural number can be devided by 3, 4 and 2.
If the exercise asks for the numbers that are divided only by 2,3 and 4 these are:
![{3}^{ \alpha } \times 12 \: and \: {4}^{ \alpha } \times 12 \: \\ where \: \alpha \: belongs \: to \: the \: set \: of \: all \: \\ natural \: numbers](https://tex.z-dn.net/?f=%20%7B3%7D%5E%7B%20%5Calpha%20%7D%20%20%5Ctimes%2012%20%5C%3A%20and%20%5C%3A%20%20%7B4%7D%5E%7B%20%5Calpha%20%7D%20%20%5Ctimes%2012%20%5C%3A%20%20%5C%5C%20where%20%5C%3A%20%20%5Calpha%20%20%5C%3A%20belongs%20%5C%3A%20to%20%5C%3A%20the%20%5C%3A%20set%20%5C%3A%20of%20%5C%3A%20all%20%5C%3A%20%3C%2Fp%3E%3Cp%3E%5C%5C%20natural%20%5C%3A%20numbers)
I think E but I’m probably wrong???
The given expression is :
9 + 11g - 4h.
substitute h=7 and g = 2 in given expression,
9 + 11(2) - 4(7) = 3.
Hope this helps!