Question

PLS HELP f(x)=x^3−2x^2+12x−6 g(x)=4x^2−6x+4 What is (f−g)(x)?

Answer 1

Answer:

$(f - g)(x) = {x}^{3} - 6 {x}^{2} + 18x - 10$

Step-by-step explanation:

The given functions are:

$f(x) = {x}^{3} - 2 {x}^{2} + 12x - 6$

and

$g(x) = 4 {x}^{2} - 6x + 4$

We want to find

$(f - g)(x)$

Recall that:

$(f - g)(x) = f(x) - g(x)$

This implies that:

$(f - g)(x) = {x}^{3} - 2 {x}^{2} + 12x - 6 - (4 {x}^{2} - 6x + 4)$

$(f - g)(x) = {x}^{3} - 2 {x}^{2} + 12x - 6 - 4 {x}^{2} + 6x - 4$

We combine similar terms to get:

$(f - g)(x) = {x}^{3} - 6 {x}^{2} + 18x - 10$