Find the domain of the function. $$ g(x)=\sqrt{5 x+35} $$ What is the domain of $$ g $$ ? (Type your answer in interval notation.)

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To determine the domain of the function $$ g(x) = \sqrt{5x + 35} $$, we need to ensure that the expression inside the square root is non-negative, as the square root of a negative number is not defined in the set of real numbers.

1. **Set the radicand (expression inside the square root) to be non-negative:**
   $$
   5x + 35 \geq 0
   $$

2. **Solve for $$ x $$:**
   $$
   5x \geq -35
   $$
   $$
   x \geq -7
   $$

This inequality tells us that $$ x $$ must be greater than or equal to $$-7$$ for $$ g(x) $$ to be real and defined.

**Therefore, the domain of $$ g $$ in interval notation is:**

$$
[-7, \infty)
$$

**Answer:** $$[-7,\,\infty)$$
The domain of $$ g(x) = \sqrt{5x + 35} $$ is all real numbers $$ x $$ such that $$ x \geq -7 $$. In interval notation, this is $$[-7, \infty)$$.

Find the domain of the function.

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

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