The domain of a function is the set of input values the function can take
The radical function is not given; so, I will provide a general explanation
Assume the radical function is:
[tex]f(x) = \frac{1}{\sqrt{12- 2x}}[/tex]
The denominator of the above function cannot be negative.
So, we express the denominator as follows
[tex]12-2x > 0[/tex]
Subtract 12 from both sides
[tex]-2x > -12[/tex]
Divide both sides by -2
[tex]x < 6[/tex]
So, the possible values of x the function can take are less than 6
Hence, the domain of the radical function is [tex][-\infty,6][/tex]
Read more about domain at:
https://brainly.com/question/4173276