find the average rate of change between the given valuesf x

find the average rate of change between the given valuesf (x) 3/x+2 from 1 to 4

Find the average rate of change for the function between the given valaes 26) (x) zi from 1 to 4

Solution:

Given Equation

f(x) = 3/(x+2) at x = 1 , x = 4

Average rate of change of f(x) on the interval [a,b] is (f(b) - f(a))/(b - a)

We have that a=1, b=4, f(x)=3/(x+2).

Thus (f(b) - f(a))/(b - a)

= (3/(4+2)) - (3/(1+2))/(4-(1))

= (1/-2)/3

= - 1/6

So Option \'C\' is correct