SOLUTION: A function is given below. Determine the average rate of change of the function between x = 2 and x = 2 + h. Function is g(x)= -10/x

Algebra ->  Rational-functions -> SOLUTION: A function is given below. Determine the average rate of change of the function between x = 2 and x = 2 + h. Function is g(x)= -10/x      Log On


   



Question 758603: A function is given below. Determine the average rate of change of the function between x = 2 and x = 2 + h.

Function is g(x)= -10/x

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A function is given below. Determine the average rate of change of the function between x = 2 and x = 2 + h.
Function is g(x)= -10/x
-----
average = [f(h+2)-f(2)]/h
-----
f(h+2) = (-10/(h+2))
f(2) = -10/2 = -5
-----
[f(h+2)-f(2) = [[-10/(h+2)]+5] = [-10+5h+10]/(h+2)
-----
= 5h/(h+2)
===============
So, average = [5h/(h+2)]/h = 5/(h+2)
============================================
======================
Cheers,
Stan H.
======================