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Question 706169: I need help solving this problem: Given the function f(x) = -5x(the x is squared) + 10x - 9, what is the domain of f?
Answer by jsmallt9(3758)   (Show Source):
You can put this solution on YOUR website! Unless you have a reason to limit the domain of a function, the domain is all real numbers. Reasons for limiting the domain of functions include:- Denominators that might become zero for certain x values
- Radicands of even-numbered roots that might become negative for certain values of x. ("Radicand" is the name for the expression inside a radical. Even-numbered roots would be square (2nd), 4th, 6th, etc. roots.)
- Arguments or bases of logarithms that might become invalid for certain values of x
There are other reasons to limit the domain but the above are the most common.
Your function has no denominators, no even-numbered roots and no logarithms. So you have no reason to limit the domain. The domain of function f is all real numbers.
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