Hey there! I'm happy to help!
The domain is any possible number you can input into the function to get a real output. The domain of h just means the domain of this entire function, which is called h.
Let's look at the answer options.
OPTION A
All real values of x such that x≠0.
The only way to make it so that we do not have a real output is if we get a negative square root. You cannot multiply any number by itself to get a negative number unless you use imaginary numbers, but using imaginary numbers makes our output not real.
Anyways, plugging in 0 would give us √-10, which is not a real number. That part is correct, but this option says ALL REAL NUMBERS except for 0. The problem is is that we can take any number less than ten and plug it in and we would get a negative square root, a fake number. So, this option is incorrect.
OPTION B
All real values of x such that x≥10.
Let's say we use 10 for our x and plug it in. This gives us √0, which is 0, a real output. Anything bigger than this 10 will give us a real output as well, so this option is correct.
We don't even need to check the other options because we have already found the correct answer. C,D, and E are all incorrect though because they include values less ten, which would give us a negative square root, a fake number.
I hope that this helps! Have a wonderful day!
