Find the domain of $$ f(\mathrm{x}) $$. $$ f(x)=\sqrt{9 x+36} $$ Answer Attempt 1 out of 2 Answer Type: Interval

Question

UpStudy AI · Accepted Answer

To find the domain of the function $$ f(x) = \sqrt{9x + 36} $$, we need to ensure that the expression inside the square root is non-negative.

**Step-by-Step Solution:**

1. **Set the expression inside the square root greater than or equal to zero:**
   $$
   9x + 36 \geq 0
   $$

2. **Solve for $$ x $$:**
   $$
   9x \geq -36
   $$
   $$
   x \geq -4
   $$

3. **Write the domain in interval notation:**
   $$
   [-4, \infty)
   $$

**Final Answer:**
$$
[-4,\ \infty)
$$
The domain of $$ f(x) = \sqrt{9x + 36} $$ is all real numbers $$ x $$ such that $$ x \geq -4 $$, which can be written as $$[-4, \infty)$$.

Find the domain of \( f(\mathrm{x}) \). \[ f(x)=\sqrt{9 x+36} \] Answer Attempt 1 out of 2 Answer Type: Interval

Real Tutor Solution

Answer

Solution

Extra Insights

Related Questions

Latest Algebra Questions