Question

F(x)=-5x^2+4x-9 g(x)=8x^2-3x-4 find (f+g)(x)

Answer 1

Given:

The functions are

$f(x)=-5x^2+4x-9$

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

To find:

The value of (f+g)(x).

Solution:

We know that,

$(f+g)(x)=f(x)+g(x)$

Putting the given functions, we get

$(f+g)(x)=-5x^2+4x-9+8x^2-3x-4$

On combining like terms, we get

$(f+g)(x)=(-5x^2+8x^2)+(4x-3x)+(-9-4)$

$(f+g)(x)=3x^2+x-13$

Therefore, the required function is $(f+g)(x)=3x^2+x-13$.