Answer: The required value of the given rational expression at x =2 is [tex]\dfrac{4}{7}.[/tex]
Step-by-step explanation: We are given to find the value of the following rational expression when x = 2 :
[tex]E=\dfrac{6-x}{x+5}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To find the required, we need to substitute x = 2 in the expression (i).
So, from (i), we have
[tex]E_{x=2}=\dfrac{6-2}{2+5}=\dfrac{4}{7}.[/tex]
Thus, the required value of the given rational expression at x =2 is [tex]\dfrac{4}{7}.[/tex]
