Answer:
![g(x)=2(f((x-8)/(2)))+1](https://img.qammunity.org/2023/formulas/mathematics/college/w32bzv0wqmawbidakopn5zanzn09a4sz5e.png)
Explanation:
Use the rules for the transformation of functions, remember some of them:
*f(ax) for horizontal compression for 0>a>1.
*f(x-c) for horizontal translations to the right c units.
*bf(x) for vertical stretch b>1.
*f(x)+d vertical translation up d units
Therefore, for the given transformations, g(x) would be:
![g(x)=2(f((x-8)/(2)))+1](https://img.qammunity.org/2023/formulas/mathematics/college/w32bzv0wqmawbidakopn5zanzn09a4sz5e.png)