The expression for (f+g)(x) when f(x) and g(x) are given is [tex]2x^{3} +2x^{2} -x-10[/tex]
Given expressions are:
[tex]f(x) = x^{3} -x[/tex]
[tex]g(x) = x^{3} +2x^{2} -10[/tex]
What will be the expression (f+g)(x)?
The expression (f+g)(x) will be the algebraic sum of the expressions f(x) and g(x) i.e. f(x)+g(x).
[tex](f+g)(x) = f(x)+g(x)[/tex]
[tex](f+g)(x) = (x^{3} -x )+ (x^{3} +2x^{2} -10)[/tex]
[tex](f+g)(x) =2x^{3} +2x^{2} -x-10[/tex]
So, expression for (f+g)(x) is [tex]2x^{3} +2x^{2} -x-10[/tex].
Therefore, (f+g)(x) when f(x) and g(x) are given is [tex]2x^{3} +2x^{2} -x-10[/tex].
To get more about polynomials visit:
https://brainly.com/question/2833285
