true or false. If f is a function, the f(s+t) = f(s)+f(t). ...?

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21-11-2016
Mathematics

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true or false. If f is a function, the f(s+t) = f(s)+f(t). ...?

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alsteva alsteva · Answer 1 · 2016-11-24T10:32:15+01:00

alsteva alsteva

24-11-2016

Can be true or false.

True:
f(x)=x
f(3+5)=3+5=8
f(3+5)=f(3)+f(5)=3+5=8

False:
[tex]f(x)=x^2 \\f(3+5)=(3+5)^2=8^2=64 \\f(3+5)=f(3)+f(5)=3^2+5^2=9+25=34 [/tex]

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