SOLUTION: Determine the average rate of change of the function between the given values of the variable. g(x)= 5/x+9 x=0, x=h PLEASE HELP ME

Algebra ->  Average -> SOLUTION: Determine the average rate of change of the function between the given values of the variable. g(x)= 5/x+9 x=0, x=h PLEASE HELP ME       Log On


   

Question 990326: Determine the average rate of change of the function between the given values of the variable.
g(x)= 5/x+9
x=0, x=h
PLEASE HELP ME
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
I assume that you meant g%28x%29=5%2F%28x%2B9%29= 5/(x+9) ,
because g%28x%29=5%2Fx%2B9= 5/x+9 is undefined for x=0 .

The average rate of change of the function between x=0 to x=h is
%28g%28h%29-g%280%29%29%2F%28h-0%29 ,
the change in the value of the function,
divided by the corresponding change of the variable.
The values of the function are:
for x=0 , g%280%29=5%2F%280%2B9%29=5%2F9 ,
for x=h , g%28h%29=5%2F%28h%2B9%29 .
As the value of x changes by h=h-0 units from x=0 to x=h ,
the value of g%28x%29 changes by
.
The average rate of change of the function between x=0 to x=h is
%28%28-5h%2F%289%28h%2B9%29%29%29%29%2Fh=-5%2F%289%28h%2B9%29%29