Is #3[g(x)]= x# a linear function?

1 Answer
Cesareo R.
Aug 4, 2016

Is a linear function

Explanation:

#3[g(x)]= x# or

#g(x) = x/3# is a linear function because

#g( alpha x + beta y) = alpha x/3+beta y/3 = alpha g(x) + beta g(y)#

with #{alpha, beta} in RR^2# which is the requisite for linearity

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