Question

Given f(x) = 6x^2 - x - 12 and g(x) = 2x - 3, find the function (f/g)(x). Enter your answer as the following example: -10x+1.

Answer 1

\[(f/g)(x)=\frac{ f(x) }{ g(x)}\]

Answer 2

now just simply divide

Answer 3

I know that but how do I simplify it??

Answer 4

\[=6x^2 - x - 12 =6x^2-(9-8)x-12\]
\[=6x^2-9x+8x-12=3x(2x-3)+4(2x-3)\]
\[=(3x+4)(2x-3)\]
so u have \[f(x)=(2x-3)(3x+4)\]
and\[g(x)=2x-3\]
\[\frac{ f(x) }{ g(x) }=\frac{ (2x-3)(3x+4) }{ (2x-3)}=(3x+4)\]

Answer 5

got this? @MLeighW

Answer 6

Yes. Thank you!!

Answer 7

np :)