Question

F(x) = 2x^3 + 5x^2 -6x-7 g(x) = 2x-3 find (f - g) (x)

Answer 1

Given:

The function are:

$f(x)=2x^3+5x^2-6x-7$

$g(x)=2x-3$

To find:

The function (f-g)(x).

Solution:

We have,

$f(x)=2x^3+5x^2-6x-7$

$g(x)=2x-3$

We need find (f-g)(x).

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

$(f-g)(x)=2x^3+5x^2-6x-7-(2x-3)$

$(f-g)(x)=2x^3+5x^2-6x-7-2x+3$

On combining like terms, we get

$(f-g)(x)=2x^3+5x^2+(-6x-2x)+(-7+3)$

$(f-g)(x)=2x^3+5x^2-8x-4$

Therefore, the correct option is B.