Answer: The required value of the given rational expression at x =2 is
![(4)/(7).](https://img.qammunity.org/2019/formulas/mathematics/middle-school/kty71ndaz490vmng6gsowdcfl27ptllhwo.png)
Step-by-step explanation: We are given to find the value of the following rational expression when x = 2 :
![E=(6-x)/(x+5)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/x6wr13t5e28fnqdhs23b4s1zcseahot1j2.png)
To find the required, we need to substitute x = 2 in the expression (i).
So, from (i), we have
![E_(x=2)=(6-2)/(2+5)=(4)/(7).](https://img.qammunity.org/2019/formulas/mathematics/middle-school/73x0qk6hasiwzxqhoawbgrvohhha4cnah4.png)
Thus, the required value of the given rational expression at x =2 is
![(4)/(7).](https://img.qammunity.org/2019/formulas/mathematics/middle-school/kty71ndaz490vmng6gsowdcfl27ptllhwo.png)