ANSWER
[tex]-1[/tex]EXPLANATION
Given;
[tex]\begin{gathered} f(x)=x^2-5x-2 \\ (-1,5) \end{gathered}[/tex][tex]\begin{gathered} f(-1)=(-1)^2-5(-1)-2 \\ =1+5-2 \\ =4 \end{gathered}[/tex]For x = 5;
[tex]\begin{gathered} f(5)=(5)^2-5(5)-2 \\ =25-25-2 \\ =-2 \end{gathered}[/tex]The average is calculated using;
[tex]\begin{gathered} \frac{f(-1)-f(5)}{-1-5} \\ =\frac{4-(-2)}{-1-5} \\ =\frac{6}{-6} \\ =-1 \end{gathered}[/tex]A
