A function is given Determine the average rate of change of

A function is given. Determine the average rate of change of the function between the given values of the variable. G(x) = 4/x + 3; x = 0, x = h -4/(h+3)^2

Solution

Average Rate of change = [g(b)-g(a)]/(b-a)

Here a = 0 and b = h

g(b) = g(h) = 4/(h+3)

g(a) = g(0) = 4/3

Average rate of change = [4/(h+3) - 4/3]/(h-0)

=> 4[(1/(h+3) - 1/3] / h

=> 4[(3-h-3)/3(h+3)] /h

=> 4[-h]/3h(h+3)

=> -4/3(h+3)