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函数的定义域是函数概念的三要素之一,在研究函数的性质和解决与函数有关的综合问题时,首先要求出函数的定义域,然后再从定义域出发进行研究,这就是定义域优先的原则.如果忽略函数的定义域,那么就会产生这样或那样的错误,下面举例说明,以引起同学们的注意.例1若函数f(x)=lgx,则不等式f(x+1/x)<1的解集为___.
The definition of function is one of the three elements of the concept of function. When studying the nature of the function and solving the comprehensive problem related to the function, we first need to define the domain of the function and then study it from the definition domain. If you omit the function’s domain, then one or the other kind of error will occur, and the following examples will give you some examples to get the students’ attention: Example 1 If the function f (x) = lgx, the inequality f (x + 1 / x) The solution set of <1 is ___.