题目内容
已知函数分别由下表给出,则满足f(g(x))>g(f(x))的x的值是______.
| x | 1 | 2 | 3 |
| g(x) | 3 | 2 | 1 |
| x | 1 | 2 | 3 |
| f(x) | 1 | 3 | 1 |
当x=1时f[g(1)]=f(3)=1,g[f(1)]=g(1)=3不满足f[g(x)]>g[f(x)]
当x=2时,f[g(2)]=f(2)=3,g[f(2)]=g(3)=1满足f[g(x)]>g[f(x)]
当x=3时f[g(3)]=f(1)=1,g[f(3)]=g(1)=3不满足f[g(x)]>g[f(x)]
故满足f[g(x)]>g[f(x)]的x的值是2
故答案为:2.
当x=2时,f[g(2)]=f(2)=3,g[f(2)]=g(3)=1满足f[g(x)]>g[f(x)]
当x=3时f[g(3)]=f(1)=1,g[f(3)]=g(1)=3不满足f[g(x)]>g[f(x)]
故满足f[g(x)]>g[f(x)]的x的值是2
故答案为:2.
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