题目内容
设函数f(x)=
(x≠0且x≠1),则f(x)+f(
)= .
| x |
| 1-x |
| 1 |
| x |
考点:函数的值
专题:函数的性质及应用
分析:由已知得f(x)+f(
)=
+
=
+
,由此能求出结果.
| 1 |
| x |
| x |
| 1-x |
| ||
1-
|
| x |
| 1-x |
| 1 |
| x-1 |
解答:
解:∵f(x)=
(x≠0且x≠1),
∴f(x)+f(
)=
+
=
+
=
=-1.
故答案为:-1.
| x |
| 1-x |
∴f(x)+f(
| 1 |
| x |
| x |
| 1-x |
| ||
1-
|
=
| x |
| 1-x |
| 1 |
| x-1 |
| x-1 |
| 1-x |
故答案为:-1.
点评:本题考查函数值的求法,是基础题,解题时要认真审题.
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