Let f(x) = 16x5 − 48x4 − 8x3 and g(x) = 8x2. find f of x over g of x.

2x2 + 6x + 1
2x2 − 6x − 1
2x3 + 6x2 + x
2x3 − 6x2 − x

Step-by-step explanation:

First, we have to express the fraction between these two functions:

Then, we separate the denominator to operate each term in the numerator:

Now, we have to divide numbers and terms, remember that power dividing requires to subtract exponents and maintain the same base: