4 of 5 What is the domain of $$ y=3 \sqrt{-2 x-7}-2 $$ ? Enter any fractions as improper fractions. (1 point) The domain of the function is ( $$ \square, \square $$. Check answer Remaining Attempts : 3

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UpStudy AI · Accepted Answer

To determine the domain of the function $$ y = 3 \sqrt{-2x - 7} - 2 $$, we need to ensure that the expression inside the square root is non-negative:

$$
-2x - 7 \geq 0
$$

Solving for $$ x $$:

$$
-2x \geq 7 \
x \leq -\frac{7}{2}
$$

Therefore, the domain of the function is all real numbers $$ x $$ such that $$ x \leq -\frac{7}{2} $$.

**Domain:** $$ (-\infty, -\frac{7}{2}] $$
The domain of the function is all real numbers $$ x $$ where $$ x \leq -\frac{7}{2} $$.

4 of 5
What is the domain of ? Enter any fractions as improper
fractions. (1 point)
The domain of the function is ( .
Check answer Remaining Attempts : 3

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4 of 5 What is the domain of ? Enter any fractions as improper fractions. (1 point) The domain of the function is ( . Check answer Remaining Attempts : 3