5.(2023•河南模拟)已知函数f(x)=2cos2ωx+3sin2ωx−1(ω>0)f(x)=2co{s}^{2}\omega x+\sqrt{3}\sin 2\omega x-1(\omega >0)f(x)=2cos2ωx+3sin2ωx−1(ω>0)在[0[0[0,π]\pi ]π]上恰有3个零点,则ω\omegaω的取值范围是((( )))