Q. Let $f (x) = x^{3}$ and $g (x) = x^{2} + 1$ be two real functions. Then $(f + g) (x) =$

2522 212 Relations and Functions Report Error

A

$x^{3} + x^{2}$

8%

B

$x^{3} + x^{2} + 1$

71%

C

$x^{2} + 1$

14%

D

$x^{3} + x + 1$

6%

Solution:

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