问题标题:
【Determineifthefunctionf:R→Rdefinedbyf(x)=(X^2+1)/(X^2+2)isabijection.Explain】
问题描述:
Determineifthefunctionf:R→Rdefinedbyf(x)=(X^2+1)/(X^2+2)isabijection.Explain
胡玉胜回答:
fisnotbijiection
proof:
wecanfindtowmembersofR,1and-1suchthat
f(-1)=f(1)=2/3
sofisnotinto.
becausebijectionmustbebothintoandonto.
thereforefisnotbijection.
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