Question #7a60e

1 Answer
Jim H
Sep 22, 2015

The average rate of change is #(-1)/(19(19+h))#

Explanation:

The average rate of change of #f# on the interval #[8,8+h]# is

#(f(8+h)-f(8))/((8+h)-8) = (f(8+h)-f(8))/h#

# = (1/((8+h)+11)-1/((8)+11))/h#

# = (1/(19+h)-1/19)/h#

# = ((19-(19+h))/(19(19+h)))/(h/1)#

# = (-h)/(19(19+h)) * 1/h#

# = (-1)/(19(19+h))#

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