定义在R上的偶函数在【0,正无穷)上为增函数,f(1)=0,则不等式f(log(2)x)>=0的解集
人气:104 ℃ 时间:2019-09-17 05:58:24
解答
偶函数:f(-x)=f(x)=f(|x|)
则:f(log2(x))=f(|log2(x)|)
又f(1)=0,
所以,原不等式化为:f(|log2(x)|)≧f(1)
因为f(x)在【0,正无穷)上为增函数,
所以:|log2(x)|≧1
则:log2(x)≦-1 或 log2(x)≧1
log2(x)≦log2(1/2) log2(x)≧log2(2)
0怎么你们给的答案不一样他只做了一半,没写完我的是正确答案哦哦哦哦哦,嘿嘿,谢请及时采纳,谢谢~~
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