Question

Let f(x) = 8x3 − 22x2 − 4 and g(x) = 4x − 3. Find f of x over g of x

Answer 1

f(x) = 8x³ - 22x² - 4
g(x) = 4x - 3


`(f / g)(x) = (8x^(3) - 22x^(2) - 4)/(4x - 3)`

`(f / g)(x) = (2(4x^(3)) - 2(11x^(2)) - 2(2))/(4x - 3)`

`(f / g)(x) = (2(4x^(3) - 11x^(2) - 2))/(4x - 3)`

Answer 2

`(f(x))/(g(x))=(2(4x^3-11x^2-2))/(4x-3)`

Explanation:

The given functions are.....

`f(x)= 8x^3-22x^2-4\\ \\ g(x)=4x-3`

Using the above functions, we will get......

`(f(x))/(g(x))\\ \\ =(8x^3-22x^2-4)/(4x-3)\\ \\ =(2((8x^3)/(2)-(22x^2)/(2)-(4)/(2)))/(4x-3)\\ \\ =(2(4x^3-11x^2-2))/(4x-3)`