函数,y=(x的2次方-3)除以(2-4乘x的2次方)的值域._数学解答

函数,y=(x的2次方-3)除以(2-4乘x的2次方)的值域.

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解答

y=(x²-0.5-2.5)/(2-4x²)=(x²-0.5)/(2-4x²)-2.5/(2-4x²)=(x²-0.5)/[-4(x²-0.5)]-2.5/(2-4x²)=-1/4-5/(4-8x²)4-8x²≤4所以5/(4-8x²)0,-5/(4-8x²)≤-5/4-...