Probably I'm just being stupid but:(adsbygoogle = window.adsbygoogle || []).push({});

According to Wikipedia.

* Additivity (also called the superposition property): f(x + y) = f(x) + f(y). This says that f is a group homomorphism with respect to addition.

* Homogeneity of degree 1: f(αx) = αf(x) for all α.

f[x_] := x + 2;

f[3 + 7]

f[3] + f[7]

5*f[10]

f[5*10]

12

14

60

52

which indicates x+2 is not linear but obv it is a linear function. Where is the error?

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# Linearity - Definition

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