The output values for each of the given functions include the following:
5. f(-6) + 17 = -6
6. g(1) - 9 = 1
7. f(8) + g(-1) = 15
8. 12 - 2[g(3)] = -68
In Mathematics and Geometry, a function defines and represents the relationship that exists between two or more variables in a relation, table, ordered pair, or graph.
Next, we would determine the corresponding output value for f(x) and g(x) in simplified form as follows;
5. f(-6) + 17
f(-6) + 17 = 3(-6) - 5 + 17
f(-6) + 17 = -18 - 5 + 17
f(-6) + 17 = -6
Part 6.
g(1) - 9

g(1) - 9 = 1
Part 7.
f(8) + g(-1)

f(8) + g(-1) = 15.
Part 8.
![12 - 2[g(3)]=12-2[2(3)^2+7(3)+1]\\\\12 - 2[g(3)]=12-2[18+21+1]\\\\12 - 2[g(3)]=12-36-42-2](https://img.qammunity.org/2024/formulas/mathematics/high-school/xmmjs1pxvmx5lhlg6gxfv81zy05qs97quz.png)
12 - 2[g(3)] = -68