y=lg(2sin2x+√3)-√(9-x²)令2sin2x+√3＞0,9-x²≥0得sin2x＞-√3/2,-3≤x≤3所以2kπ-π/3＜2x＜2kπ+4π/3,k∈Z,-3≤x≤3即kπ-π/6＜x＜kπ+2π/3,k∈Z,-3≤x≤3所以-3≤x＜-π/3或-π/6＜x＜2π/3或5...