Question

determine the average rate of change of the following functions for the given intervals.

f(x) = 2/x+2 from x to x+h

Answer 1

\[f(x+h)-f(x)/(x+h-x)=f(x+h)-f(x)/h\]

Answer 2

\[f(x+h)=2/(x+h+2)\]

Answer 3

and what about the rest

Answer 4

[2/(x+h) + 2 - 2/x - 2]/h
=-2/x(x+h)
that is the rate of change.