Final Answer:
The calculation of g(20) for the function g(x) = 6(2x + 7) involves substituting x with 20, yielding a result of 282. This process entails a step-by-step evaluation, starting with multiplying 20 by 2, resulting in 40. Proceeding, we add 7 to the preceding result, arriving at 47. The final step involves multiplying 6 by 47, concluding in the determination of g(20) as 282.
Step-by-step explanation:
To determine g(20) in the context of the function g(x) = 6(2x + 7), the methodology is straightforward. By substituting x with 20 and diligently computing each step, a clear sequence emerges. Initially, the multiplication of 20 by 2 leads to 40. Building upon this, the addition of 7 yields 47. The culmination involves multiplying this result by 6, resulting in the final output of 282 for g(20).
In essence, this comprehensive explanation elucidates the systematic approach employed to ascertain the value of g(20) in the given function, emphasizing the sequential operations undertaken to derive the conclusive result of 282.