Question

Let f(x) = 3x3 − 7x2 − 9x + 21 and g(x) = 3x − 7. Find f of x over g of x.

3x2 − x
x2 − 3x
3x2 − 3
x2 − 3

Answer 1

x^2-3

Explanation:

look at the picture

Answer 2

For this case we have the following functions:

`f (x) = 3x ^ 3-7x ^ 2-9x + 21\\g (x) = 3x-7`

We must find the value of the following expression:

`\frac {f (x)} {g (x)}`

So:

`\frac {f (x)} {g (x)} = \frac {3x ^ 3-7x ^ 2-9x + 21} {3x-7}`

Looking at the attached image we have to:

`\frac {f (x)} {g (x)} = x ^ 2-3`

Answer:

Option D

See attached image