# Question #114e8

Feb 7, 2017

#### Explanation:

(f+g)((x) is performing

the algebraic addition of f and g, for $x \in \left[0 , 2 \pi\right]$.

graph{2sinx+sin(2x) [0, 6.2832, -5, 5]}
graph{(y-2sinx)(y-sin(2x))(2sinx+sin(2x)-y)=0 [0, 6.2832, -4, 4]}

Demonstrative addition is depicted by the line x = 1, for x = 1 radian

See the last local graph, for clarity, in this addition.

$\left(f + g\right) \left(1\right) = f \left(1\right) + g \left(1\right) = 2 \sin \left({57.3}^{o}\right) + \sin \left({114.8}^{o}\right) = 1.7 + 0.9 = 2.6 ,$ nearly

graph{(y-2sinx)(y-sin(2x))(2sinx+sin(2x)-y)=0 [0.95 1.05, 0, 3]}