Answer:
28
Step-by-step explanation:
f(6) = -3 * 6 + 10 = -18 + 10 = -8
g(f(6)) = g(-8)
g(-8) =
= 64 - 24 - 12 = 64 - 36 = 28
The domain of a function are the possible input values of the function.
<em>The domain of the function is (d) Whole numbers</em>
First, we identify the start and end values of x on the graph.
We have:

The graph has no end; so:

This means that the domain of the graph is 
The number of times one can visit the pool cannot be decimal.
Hence, the domain of the function is whole numbers
Read more about domain at:
brainly.com/question/15339465
To solve an equation for x we will try to isolate x. Hence, first step is to use the distributive property. Therefore,
4x + 29 = 5 - 8(x+6)
4x + 29 = 5 - 8x - 48
4x + 29 = - 43 -8x Combine the like terms.
4x + 29 + 8x = -43 Add 8x to each sides of the equation.
12x + 29 = -43
12x = -43 - 29 Subtract 29 from each sides.
12x = -72

So, x =- 6
Although you have not included the statements about the solution to the set of the given equations, I can explain you what happen with that system.
You can arrive to the same conclusion by any method of solution of systems that you like.
The quickest in this case, is to multiply the equation of the lIne F by 5.
That leads to: 5 (x + y) = 5(8)
⇒ 5x + 5y = 40.
Now you can realize that the two representations (equations) correspond to the same line.
That means that there are infinite solutions, this is infinity values of x and y meet both equations.
If you graph line E and line F they overlap in the entire domain, so the graphing method also tells you that you cannot find one solution but infinite soluttions.