Determine the domain of the given function. $$f ( x ) = \sqrt { x - 3 }$$
A) all real numbers x
B) all real numbers x except x = 3
C) all real numbers x for which $x \geq 3$
D) all real numbers x for which $x \geq - 3$

Question

Quizplus · Accepted Answer

The square root function $\sqrt{x - 3}$ is defined only for values of $x$ where the expression inside the square root, $x - 3$, is non-negative. This means $x - 3 \geq 0$, which simplifies to $x \geq 3$. Therefore, the domain includes all real numbers $x$ for which $x \geq 3$.

Determine the Domain of the Given Function f(x)=x−3f ( x ) = \sqrt { x - 3 }f(x)=x−3​

Determine the Domain of the Given Function $f ( x ) = \sqrt { x - 3 }$