求 y=x^-4x+3/2x^-x-1 值域
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求 y=x^-4x+3/2x^-x-1 值域
求 y=x^-4x+3/2x^-x-1 值域
求 y=x^-4x+3/2x^-x-1 值域
y=(x^2-4x+3)/(2x^2-x-1 )
=[(x-1)(x-3)]/[(2x+1)(x-1)]
=(x-3)/(2x+1)
=1/2[(2x+1)-7]/(2x+1)
=1/2-7/(4x+2)
∵x-1≠0,x≠1
∴y≠-2/3
又7/(4x+2)≠0,y≠1/2
∴函数值域为{y∈R|y≠-2/3且y≠1/2}
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