Question

Given that f(x) = x^2 - 8x + 12 and g(x) = -6, find (f/g)(x) and express the result in standard form

Answer 1

We are given the following two functions

`\begin{gathered} f(x)=x^2-8x+12 \\ g(x)=-6_{} \end{gathered}`

We are to find (f/g)(x)

(f/g)(x) is basically the division of function f(x) by function g(x)

`((f)/(g))(x)=(f(x))/(g(x))=(x^2-8x+12)/(-6)=(x^2)/(-6)-(8x)/(-6)+(12)/(-6)=-(1)/(6)x^2+(2)/(3)x-2`

Therefore, the function (f/g)(x) is

`((f)/(g))(x)=-(1)/(6)x^2+(2)/(3)x-2`