SOLUTION: P(x) = x^2 -2x + 10 find domain

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Question 203574: P(x) = x^2 -2x + 10
find domain

Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
Unless you have reasons to exclude some values, the domain of any function is all Real Numbers. You would exclude any x-values from the domain if they would:
  • Make a denominator zero
  • Make the radicand of an even-numbered root, like square roots, negative
  • Make the argument of a logarithm zero or negative
  • Create any other "no-no's" like tan%28pi%2F2%29.

Your function: P%28x%29+=+x%5E2+-2x+%2B+10 has no denominators, no even-numbered roots, no logarithms or anything else to avoid. There are no numbers we cannot square and there are no numbers we cannot multiply by 2. So the domain of your function is all Real Numbers.