Given:
The functions are:
[tex]f(x)=x^2-x[/tex]
[tex]g(x)=9-2x[/tex]
[tex]h(x)=x^2+2x-63[/tex]
To find:
The function [tex](f+h)(x)[/tex].
Solution:
We know that,
[tex](f+h)(x)=f(x)+h(x)[/tex]
Substituting the values of given functions, we get
[tex](f+h)(x)=x^2-x+x^2+2x-63[/tex]
[tex](f+h)(x)=2x^2+x-63[/tex]
Therefore, the required function is [tex](f+h)(x)=2x^2+x-63[/tex].
