首页 > 留学知识库

问题: 设G(X)=〈1〉E的X次方(x小于等于0)〈2〉lnx(x大于0),求G(G(0.5))的值?

设G(X)=〈1〉E的X次方(x小于等于0)〈2〉lnx(x大于0),求G(G(0.5))的值?

解答:

设G(X)=
〈1〉E的X次方(x小于等于0)
〈2〉lnx(x大于0),
求G(G(0.5))的值?
解:0.5>0,→G(0.5)=ln0.5=ln(1/2)=-ln2<0
∴G(G(0.5))=G(-ln2)=E的(-ln2)次方
=E的ln(1/2)次方
=1/2