Y (b).
The function is given as,
![g(x)=(x-102)/(5)](https://img.qammunity.org/2023/formulas/mathematics/high-school/osjh9sd6pe0fa5bq5s85bf30nsrepr53tq.png)
It is asked to determine the output corresponding to the following inputs,
![g(902)\text{ and }g\mleft(202\mright)](https://img.qammunity.org/2023/formulas/mathematics/high-school/leh0auevouyqjvhjdnozrm3aov75uf9mgx.png)
Substitute 902 for 'x' to obtain the corresponding output as,
![\begin{gathered} g(902)=(902-102)/(5) \\ g(902)=(800)/(5) \\ g(902)=160 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/3frrxrq4z0hp713iloalz629uvw0rjns6e.png)
Thus, the first output will be 160.
Now, substitute 202 for 'x' to obtain the corresponding output,
![\begin{gathered} g(202)=(202-102)/(5) \\ g(202)=(100)/(5) \\ g(202)=20 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/g72bj91k6q1q6l9xtr4xgckc4ajk3lc1va.png)
Thus, the second output will be 20.