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Computing the set of all functions

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1. Let G be the set of all functions f :[0,1]→R. For f,g∈G define the function f⊕g by setting

f ⊕ g (x) := f (x) + g (x)

(i) Explain what it means that two functions f : [0,1] → R and g : [0,1] → R are

for x ∈ [0,1].

equal, so explain the meaning of f = g.

(ii) Show that G is a group with respect to ⊕. 

Reference no: EM131838337

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