Answer:
[tex](f + g)(x) = {x}^{2} - x + 6[/tex]
Step-by-step explanation:
We have
[tex]f(x) = {x}^{2} + 1[/tex]
and
[tex]g(x) = 5 - x[/tex]
We want to find (f+g)(x).
By the algebraic properties of polynomial functions,
[tex](f + g)(x) = f(x) + g(x)[/tex]
[tex](f + g)(x) = {x}^{2} + 1 + 5 - x[/tex]
This simplifies to
[tex](f + g)(x) = {x}^{2} - x + 6[/tex]
We can't simplify further, hence the simplest form
