Answer:
the inequality for the domain of f(x) is [tex]x-3\geq0[/tex]
Step-by-step explanation:
We have been given that [tex]f(x)=\sqrt{x-3}[/tex]
Domain is the set of x values, for which the function is defined.
So, we find those values of x for which the square root function is defined.
We know that square root function is defined for positive values only.
Hence, we have the inequality
[tex]x-3\geq0[/tex]
Therefore, the inequality for the domain of f(x) is [tex]x-3\geq0[/tex]