若f(x)=3x+4,f1(x)=f(x),f2(x)=f(f1(x)),f3(x)=f(f2(x)),···,···,fn(x)=f(fn-1(x)),n属于N*,则f(f(···f(x)))=?注:共n个

来源:学生作业帮助网 编辑:作业帮 时间:2024/06/10 17:38:35
若f(x)=3x+4,f1(x)=f(x),f2(x)=f(f1(x)),f3(x)=f(f2(x)),···,···,fn(x)=f(fn-1(x)),n属于N*,则f(f(···f(x)))=?注:共n个
x){ѽ4MBָBD'uҌ Lk  J˃JBT=8ɮ>?-3 55mm^~ϬXeTOW!;$qy@hhp4TJA[AD.ak&kd_\g/

若f(x)=3x+4,f1(x)=f(x),f2(x)=f(f1(x)),f3(x)=f(f2(x)),···,···,fn(x)=f(fn-1(x)),n属于N*,则f(f(···f(x)))=?注:共n个
若f(x)=3x+4,f1(x)=f(x),f2(x)=f(f1(x)),f3(x)=f(f2(x)),···,···,fn(x)=f(fn-1(x)),n属于N*,则
f(f(···f(x)))=?注:共n个

若f(x)=3x+4,f1(x)=f(x),f2(x)=f(f1(x)),f3(x)=f(f2(x)),···,···,fn(x)=f(fn-1(x)),n属于N*,则f(f(···f(x)))=?注:共n个
(3^n)x+4+4*3+4*3^2+...+4*3^(n-1)
=(3^n)x + (4-4*3^(n-1))/(1-3)
=(3^n)x + 2*3^(n-1)-2