Find the domain of the function $$ f(x)=\sqrt{21-3 x} $$ What is the domain of $$ f $$ ? $$ \square $$ (Type your answer in interval notation.)

Question

UpStudy AI · Accepted Answer

To find the domain of the function $$ f(x) = \sqrt{21 - 3x} $$, we need to ensure that the expression inside the square root is non-negative:

$$
21 - 3x \geq 0
$$

Solving for $$ x $$:

$$
-3x \geq -21
$$

$$
x \leq 7
$$

Therefore, the domain of $$ f $$ consists of all real numbers $$ x $$ such that $$ x $$ is less than or equal to 7.

**Domain of $$ f $$:** $$(-\infty, 7]$$

$$\boxed{\,(-\infty,\ 7]\,}$$
The domain of $$ f $$ is all real numbers less than or equal to 7, written as $$(-\infty, 7]$$.

Find the domain of the function

What is the domain of ?
(Type your answer in interval notation.)