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[tex]\large\boxed{\begin{array}{l}\sf h(x)=3x^2-4x+k\\\sf para~que~h(x)~n\tilde ao~possua~ra\acute izes~reais~\Delta<0.\\\sf\Delta=(-4)^2-4\cdot3\cdot(k)\\\sf\Delta=16-12k\\\sf 16-12k<0\cdot(-1)\\\sf 12k-16>0\\\sf 12k>16\\\sf k>\dfrac{16\div4}{12\div4}\\\sf k>\dfrac{4}{3}\\\huge\boxed{\boxed{\boxed{\boxed{\sf\maltese~alternativa~d}}}}\end{array}}[/tex]
