Net Change / Average Rate

Question

A function is given.

g(x) = 4/x+9 ; x = 0, x= h

a) Determine the net change between the given values of the variable.

b) Determine the average rate of change between the given values of the variable.

Answer 1

a) Should be g(h) - g(0). Just plug into the function. g(0) is undefined, so problem is not doable.

b) The average rate of change is obtained by finding the slope between the points (0,g(0)) and (h,g(h)) which also is not possible to calculate here.

Let's do it for x = 1 and h:

a) Change in g: 4/h - 4

b) rate is Δg/Δx = (4/h - 4)/(h-1)

Hope that helps.