How do you find the average rate of change for the function F(x)=7+ 4/(x+3) on the indicated intervals [-2, -2+h]?
1 Answer
Aug 28, 2015
Average rate of change of
Explanation:
So, the average rate of change for the function
= ([7+ 4/((-2+h)+3)] -[7+ 4/((-2)+3)])/((-2+h)-(-2)
= (4/(h+1) - 4/1)/h
= ((4-4(1+h))/(1+h))/(h/1)
= (-h)/(h+1) * 1/h
= (-1)/(h+1)
(The last line is equal the preceding lines forx != 0 )