函數(shù)y=8/(x^2-4x+5)的值域是?
函數(shù)y=8/(x^2-4x+5)的值域是?
答案為什么是(0,8] 是怎么算的?還有這道題的定義域是什么呀?
答案為什么是(0,8] 是怎么算的?還有這道題的定義域是什么呀?
數(shù)學(xué)人氣:738 ℃時間:2020-02-06 08:11:06
優(yōu)質(zhì)解答
解觀察分母x²-4x+5=(x-2)²+1知函數(shù)y=8/(x^2-4x+5)的定義域為R又有(x-2)²+1≥1兩邊取倒數(shù)即0<1/[(x-2)²+1]≤1即0<1/[x²-4x+5]≤1即0<8/[x²-4x+5]≤8即0<y≤8即函數(shù)的值域(0...
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