If ,f(x)=x^3-x what is the average rate of change of f(x) over the interval [1, 5]?

a. 29.5
b. 30
c. 43
d. 120

Option b is correct

30 is the average rate of change of f(x) over the interval [1, 5]

Step-by-step explanation:

Average rate of change (A(x)) of f(x) over interval [a, b] is given by:

        ....[1]

As per the statement:

Given the function:

We have to find the  average rate of change of f(x) over the interval [1, 5].

At x = 1

then;

At x= 5

then;

Substitute these given values in [1] we have;

⇒

⇒

Therefore, the average rate of change of f(x) over the interval [1, 5] is, 30

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.