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`.