If f(x)=4x-6/x, what is the average rate of change of f(x) over the interval [-3,6]? a: 1/3 b: 1/9 c: -1/3 d: -3

 The correct option is (C)

Step-by-step explanation:  We are given a function f(x) defined as follows :

We are to find the average rate of change of f(x) over the interval [-3, 6].

We know that'

the average rate of change of a function p(x) over an interval [a, b] is given by

For the given function, we have

Therefore, the required average rate of change over the interval [-3, 6] will be

Thus, the required average rate of change over the interval [-3, 6] is

Option (C) is CORRECT.

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