SOLUTION: What is the domain of State the domain of the following: a)f(x)= the square root of x-8 Answer: b)h(x)=3x squared + 5x-3 Answer: c)mx=5/x squared +9 Answer:

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The domain is all values the function can take. There are two big things you can't do. You can't divide by 0 and you can't take even roots of negative numbers.
a) So, x >=8 because if x<8 then x-8<0. So I'm not sure what notion you're using by it could be [8,inf) in interval notion or in set-builder notion {x|x=>8}
b) h can take any input, so your domain is the real numbers.
c) Here, the bottom can never be 0 because , so the domain is once again all real numbers.
d) Once again, the domain is the real numbers. In b) and d) you have polynomial expressions which are always definied on the real numbers.