Does the relation y = √12x + 3 define y as a function of x? Give the domain.

Question

asked Feb 11, 2023 6.8k views

1 Answer

Data Monk · Answer 1 · 2023-02-16T21:54:03+0000

The function:

$y=\sqrt[\placeholder{⬚}]{12x+3}$

The domain of this function always is going to be for the values when:

$\begin{gathered} 12x+3>=0 \\ Solving\text{ for x} \\ 12x\ge-3 \\ x\operatorname{\ge}-(3)/(12) \end{gathered}$

So, the domain is for all values of x equal or greater than -3/12

Domain= R>=-3/12