记函数f1(x)=f(x),f2(x)=f(f(x)),…fn(x)=f(f…f(x)),这些函数定义域的交集为D,若对任意的x属于D,...记函数f1(x)=f(x),f2(x)=f(f(x)),…fn(x)=f(f…f(x)),这些函数定义域的交集为D,若对任意的x属于D,满足fn(x)=f(x)所
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/27 20:38:12
![记函数f1(x)=f(x),f2(x)=f(f(x)),…fn(x)=f(f…f(x)),这些函数定义域的交集为D,若对任意的x属于D,...记函数f1(x)=f(x),f2(x)=f(f(x)),…fn(x)=f(f…f(x)),这些函数定义域的交集为D,若对任意的x属于D,满足fn(x)=f(x)所](/uploads/image/z/3740017-49-7.jpg?t=%E8%AE%B0%E5%87%BD%E6%95%B0f1%28x%29%3Df%28x%29%2Cf2%28x%29%3Df%28f%28x%29%29%2C%E2%80%A6fn%28x%29%3Df%28f%E2%80%A6f%28x%29%29%2C%E8%BF%99%E4%BA%9B%E5%87%BD%E6%95%B0%E5%AE%9A%E4%B9%89%E5%9F%9F%E7%9A%84%E4%BA%A4%E9%9B%86%E4%B8%BAD%2C%E8%8B%A5%E5%AF%B9%E4%BB%BB%E6%84%8F%E7%9A%84x%E5%B1%9E%E4%BA%8ED%2C...%E8%AE%B0%E5%87%BD%E6%95%B0f1%28x%29%3Df%28x%29%2Cf2%28x%29%3Df%28f%28x%29%29%2C%E2%80%A6fn%28x%29%3Df%28f%E2%80%A6f%28x%29%29%2C%E8%BF%99%E4%BA%9B%E5%87%BD%E6%95%B0%E5%AE%9A%E4%B9%89%E5%9F%9F%E7%9A%84%E4%BA%A4%E9%9B%86%E4%B8%BAD%2C%E8%8B%A5%E5%AF%B9%E4%BB%BB%E6%84%8F%E7%9A%84x%E5%B1%9E%E4%BA%8ED%2C%E6%BB%A1%E8%B6%B3fn%28x%29%3Df%28x%29%E6%89%80)
记函数f1(x)=f(x),f2(x)=f(f(x)),…fn(x)=f(f…f(x)),这些函数定义域的交集为D,若对任意的x属于D,...记函数f1(x)=f(x),f2(x)=f(f(x)),…fn(x)=f(f…f(x)),这些函数定义域的交集为D,若对任意的x属于D,满足fn(x)=f(x)所
记函数f1(x)=f(x),f2(x)=f(f(x)),…fn(x)=f(f…f(x)),这些函数定义域的交集为D,若对任意的x属于D,...
记函数f1(x)=f(x),f2(x)=f(f(x)),…fn(x)=f(f…f(x)),这些函数定义域的交集为D,若对任意的x属于D,满足fn(x)=f(x)所有n 的取值构成集合P,满足fn(x)=x所有n的取值构成集合Q.(1),若f(x)=1/x ,求集合P,Q ,(2),对于函数f(x)=ax/(x+b)(a〈0),2属于Q ,求a,b关系式.
记函数f1(x)=f(x),f2(x)=f(f(x)),…fn(x)=f(f…f(x)),这些函数定义域的交集为D,若对任意的x属于D,...记函数f1(x)=f(x),f2(x)=f(f(x)),…fn(x)=f(f…f(x)),这些函数定义域的交集为D,若对任意的x属于D,满足fn(x)=f(x)所
(1)f[f(x)]=f(1/x)]=x.Q={y|y=2n,n∈N+}.
f{f[f(x)]}=f(x).P={y|y=2n+1,n∈N+}.
(2)2∈Q,
∴f[f(x)]=f[ax/(x+b)]=[a*ax/(x+b)]/[ax/(x+b)+b]
=a^2*x/[(a+b)x+b^2]=x,
∴a+b=0.
看不懂你写的什么
1
f1(x)=1/x ,则f2(x)=x;f3(x)=1/x;f4(x)=x;....
n为正奇数时满足fn(x)=1/x=f(x),则P={t|t=2k-1,k∈Z+};
为偶数时满足fn(x)=x,则Q={t|t=2k,k∈Z+}
2
由题意f[f(x)]=f[ax/(x+b)]
a^2*x/[(a+b)x+b^2]=x,
故a+b=0