化简y=(根号4x²+4x+1)+(根号4x²-12x+9)

问题描述:

化简y=(根号4x²+4x+1)+(根号4x²-12x+9)
还要画出简图,

y=√(4x^2+4x+1)+√(4x^2-12x+9)=√(2x+1)^2+√(2x-3)^2=|2x+1|+|2x-3|1)2x+1≥02x-3≥0即x≥3/2时原式=2x+1+2x-3=4x-22)2x+1≤02x-3≤0即x≤-1/2时原式=-2x-1-2x+3=-4x+23)-1/2<x<3/2时原式=2x+1-2x+3=4...