Answer:
f(g(8))= 26.
Explanation:
When we see the term "g(8)", it's asking us to determine what is the value of y when we substitute x by 8 in a function g(x). Now, when it says f(g(8)) we are looking for the number that provides the g(x) function when substituting x by 8 and then introduce that number in the f(x) question and calculate the final result.
Let's solve it.
1. Find g(8).
g(8) = (8) - 6 --> Substitute x by 8.
g(8)= 2. --> Calculate.
2. Find f(g(8)).
Now, we take the value that g(8) gave and use it to calculate the new f(g(8)) value.
f(2) = 3(2)² + (2) + 12 --> Substitute x by the value obtained from g(8).
f(2) = 12+2+12 --> Simplify.
f(2) = 26 --> Simplify.
3. Express the result.
f(g(8))= 26.