Question

Given: F(x) = 3x and G(x) = x 2 + 1 Find (F + G)(x).

 3x³ + 1
 x² + 3x + 1
3x² + 1

Answer 1

For this case we have the following functions:

$f (x) = 3x\\g (x) = x ^ 2 + 1$

We must find (f + g) (x). By definition of operations with functions we have to:

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

So we have to:

$(f + g) (x) = 3x + (x ^ 2 + 1)\\(f + g) (x) = x ^ 2 + 3x + 1$

Answer:

$(f + g) (x) = x ^ 2 + 3x + 1$

Option B