> 数学 >
已知函数f(X)=x平方+ax+b,且集合A={x|x=f(x)},B={x|x=f(f(x))} 求证A含于B
人气:360 ℃ 时间:2020-07-25 07:32:36
解答
for all x ∈ A
=> x= f(x)
=> f(x) = f(f(x))
=> x = f(f(x)) ( x= f(x))
=> x ∈ B
=> A is subset of B
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