Question

Let f(x) = 36x5 − 44x4 − 28x3 and g(x) = 4x2. Find f of x over g of x. 9x2 − 11x − 7 9x2 11x 7 9x3 − 11x2 − 7x 9x3 11x2 7x.

Answer 1

The value f of x over g of x is 9x³ − 11x² −  7x. Then the correct option is C.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The two functions are given as

f(x) = 36x⁵ − 44x⁴ − 28x³ and g(x) = 4x²

We have to find the division of f(x) by g(x).

$\rm \dfrac{f(x)} {g(x)} = \dfrac{36x^5 - 44x^4 - 28x^3}{4x^2}$

We can separate 4x² to each term of f(x). Then we have

$\rm \dfrac{f(x)} {g(x)} = \dfrac{36x^5}{4x^2} - \dfrac{44x^4}{4x^2} - \dfrac{28x^3}{4x^2}\\\\\\ \dfrac{f(x)} {g(x)} = 9x^3 - 11x^2 - 7x$

Thus, the value f of x over g of x is 9x³ − 11x² −  7x. Then the correct option is C.

More about the function link is given below.

brainly.com/question/5245372