Question

Use f ( x ) = x 2 − x , f(x)=x 2 −x, g ( x ) = 9 − 2 x g(x)=9−2x, and h ( x ) = x 2 + 2 x − 63 h(x)=x 2 +2x−63. Find ( f + h ) ( x ) (f+h)(x).

Answer 1

Given:

The functions are:

$f(x)=x^2-x$

$g(x)=9-2x$

$h(x)=x^2+2x-63$

To find:

The function $(f+h)(x)$.

Solution:

We know that,

$(f+h)(x)=f(x)+h(x)$

Substituting the values of given functions, we get

$(f+h)(x)=x^2-x+x^2+2x-63$

$(f+h)(x)=2x^2+x-63$

Therefore, the required function is $(f+h)(x)=2x^2+x-63$.