The function:
[tex]y=\sqrt[\placeholder{⬚}]{12x+3}[/tex]The domain of this function always is going to be for the values when:
[tex]\begin{gathered} 12x+3>=0 \\ Solving\text{ for x} \\ 12x\ge-3 \\ x\operatorname{\ge}-\frac{3}{12} \end{gathered}[/tex]So, the domain is for all values of x equal or greater than -3/12
Domain= R>=-3/12