document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #435146 by jsmallt9(3758) $\"\"$ $\"About$

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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.

\n" ); document.write( "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. \n" ); document.write( "

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