What is the average rate of change for this function for the interval from x = 1 to x = 3?

A. 1/3

B. 6

C. 1/6

D. 3

One of the oldest Indo-European languages for which substantial documentation exists, Sanskrit is believed to have been the general language of the greater Indian Subcontinent in ancient times. It is still used today in Hindu religious rituals, Buddhist hymns and chants, and Jain texts.

answer:   c ?

step-by-step explanation:

x^2 + 81

we can factor this using difference of square binomials.

rewrite the equation:

x^2 - (-81)

factor:

(a^2 - b^2) = (√a^2 + √b^2)(√a^2 - √b^2)

(x^2 - (-81) = (x + √-81)(x - √-81)

we can remove the - from under the radical by multiplying it by i.

(x^2 - (-81) = (x + i√81)(x - i√81)

(x^2 - (-81) = (x + 9i)(x - 9i)

we can check our answer by using foil:

x^2 - 9ix + 9ix - 81i^2

x^2 - 81^2

i^2 = -1

x^2 + 81