Question

Question #114e8

Answer 1

See graphic addition and explanation

Explanation:

(f+g)((x) is performing

the algebraic addition of f and g, for `x in [0, 2pi]`.

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.

`(f+g)(1)=f(1)+g(1) =2sin(57.3^o)+sin(114.8^o)=1.7+0.9=2.6,` nearly

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