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Let f(x) = 5x3 − x2 − 60x + 12 and g(x) = 5x − 1. Find f of x over g of x.

A. 2 − 12
B. 5x2 + 4x
C. x2 − 12x
D. 5x2 + 4

Given that the two functions are and

We need to determine the value of

The value of :

To determine the value of , let us substitute the functions and in

Thus, we get;

Let us group the terms in the numerator.

Thus, we get;

Factoring out the common terms from each group, we get;

Factoring out the term (5x - 1), we have;

Cancelling the common terms, we get;

Thus, the value of is

Hence, Option A is the correct answer.

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step-by-step explanation: