Question

F(x) = x2 + 1 g(x) = 5 – x (f + g)(x) =

Answer 1

Answer:

$(f + g)(x) = {x}^{2} - x + 6$

Step-by-step explanation:

We have

$f(x) = {x}^{2} + 1$

and

$g(x) = 5 - x$

We want to find (f+g)(x).

By the algebraic properties of polynomial functions,

$(f + g)(x) = f(x) + g(x)$

$(f + g)(x) = {x}^{2} + 1 + 5 - x$

This simplifies to

$(f + g)(x) = {x}^{2} - x + 6$

We can't simplify further, hence the simplest form