Exactly how many function f:Q\toQ exist such that f(x+y)=f(x)+f(y)and f(xy)=f(x)f(y) for all x,y∊Q?

AP EAMCET Engineering 18 Sep 2020 Shift 2 Paper

Section: Mathematics

Question : 30 of 160

Marks: +1, -0

Exactly how many function f:Q→Q exist such that f(x+y)=f(x)+f(y)and f(xy)=f(x)f(y) for all x,y∊Q?

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