fx为奇函数gx为偶函数求f［g（x）］与f〔f（x）〕的奇偶性

Question

fx为奇函数gx为偶函数求f［g（x）］与f〔f（x）〕的奇偶性

Answer 1

f(-x)=-f(x),g(-x)=g(x),

u(x)=f(g(x)),
u(-x)=f(g(-x）)=f(g(x))=u(x)
u(x)=f(g(x))偶函数。

v(x)=f(f(x),
v(-x)=f(f(-x))=f(-f(x))=-f(f(x))=-v(x),
v(x)=f(f(x)奇函数。本回答被提问者采纳