Answer:
B. \(F(1)+F(5)=30\)
Step-by-step explanation:
We have been given that \(F(x)=x^2+2\). We are asked to evaluate \(F(1)+F(5)\).
First of all, we will find F(1) by substituting \(x=1\) in our given function.
\(F(1)=1^2+2\)
\(F(1)=1+2\)
\(F(1)=3\)
Now, we will find F(5) by substituting \(x=5\) in our given function.
\(F(5)=5^2+2\)
\(F(5)=25+2\)
\(F(5)=27\)
\(F(1)+F(5)=3+27\)
\(F(1)+F(5)=30\)
Therefore, option B is the correct choice.
