Answer: The required value is 63.
Step-by-step explanation: We are given two functions F(x) and G(x) as follows :
[tex]F(x)=x^2+5x,\\\\G(x)=2x+1.[/tex]
We are to find the value of [tex]F(5)+G(6).[/tex]
We have
[tex]F(5)=5^2+5\times5=25+25=50,\\\\G(6)=2\times6+1=12+1=13.[/tex]
Therefore, we get
[tex]F(5)+G(6)=50+13=63.[/tex]
Thus, the required value is 63.