Answer:
g(x)=√(x-2)+3
Step-by-step explanation:
Number 12
The function f(x) is defined as follows:
![f(x)=\sqrt[]{x}](https://img.qammunity.org/2023/formulas/mathematics/college/eoshqhavec9ovuzgludbh20udpt0k7hgf6.png)
We see that the graph of g(x) has a Vertical Translation of f(x) Up by 3 units.
Therefore, we have:
![f(x)+3=\sqrt[]{x}+3](https://img.qammunity.org/2023/formulas/mathematics/college/1665k7o820hhcjhszzk76ock03fza5c7ej.png)
The graph of f(x) is also Translated Horizontally Right by 2 units.
The equation for g(x) represented by the solid line will then be:
![\begin{gathered} g(x)=f(x-2)+3 \\ g(x)=\sqrt[]{x-2}+3 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/mf42cxwa22wjvf2nwrxw2jb8f6ycu9wac4.png)