The function P(x)=x^3−2x^2 is dilated by the function I(x)=P(4x). Which function rule represents I(x)?

A. I(x)=4x3−8x2
B. I(x)=64x3−32x2
C. I(x)=64x3−2x2
D. I(x)=4x3−2x2

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.  

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)

step-by-step explanation:

your answer is a