Question

Find the average rate of change of the function f over the given interval. f(x)=x^2-6/4x-8 from x=6 to x=8

Answer 1

`f(x)=(x^2-6)/(4x-8) \\ \\f(8)=(8^2-6)/(4*8-8)= (58)/(24) = (29)/(12) \\ \\f(6)=(6^2-6)/(4*6-8)= (30)/(16) = (15)/(8) \\ \\ (f(8)-f(6))/(8-6) =((29)/(12) - (15)/(8) )/(2) =((116)/(48) - (90)/(48) )/(2) =((26)/(48) )/(2) =(26)/(96)=(13)/(48)`