.cloud/modules/unproctoredTest.Questionsheet to check your work and foliows the SNII I I te polloy. fre cone working as this finalizesyour assignment and you wil lose access to make any changes. thed your profecl and it is reasly for grading. Moving to your desk, you remember that Casey was in charge of creating a password for your computer access. In Casey's standard approach, the password is based on mathematics. You open your notebook with the reminder of this password and see the following Computer password: specify the domain of the function $f(x)=\sqrt{2 x+10}$. The domain of $f(x)$ is $x$ Explain, in your own words and with your own work, how you arrived at this result. Be sure fo explain using appropriate mathematical concepts to support your co-workers and supervisor:

Step 1 ：The domain of a function is the set of all possible input values (often denoted as 'x') which will output real numbers. In this case, the function is \(f(x)=\sqrt{2 x+10}\).

Step 2 ：The square root of a number is only defined for non-negative numbers. Therefore, the expression under the square root, \(2x+10\), must be greater than or equal to zero.

Step 3 ：We can solve this inequality to find the domain of the function. The solution to the inequality \(2x+10 \geq 0\) is \(x \geq -5\).

Step 4 ：This means that the domain of the function \(f(x)=\sqrt{2 x+10}\) is all real numbers greater than or equal to -5.

Step 5 ：Final Answer: The domain of the function \(f(x)=\sqrt{2 x+10}\) is \(x \geq -5\). In other words, \(x\) can be any real number that is greater than or equal to -5. This is denoted as \([-5, \infty)\) in interval notation. So, \(\boxed{x \geq -5}\).