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Question 254688: Trying to help son with homework but it's been over 20 yrs. since I did any algebra and I'm totally stumped on this. I need to find the domain of "p". The equation is:
p(x) = x to the 2nd power - 2x + 6
Multiple choice answers are:
a. {x | x is a real number}
b. {x | x is a real number and x is less than zero}
c. {x | x is a real number and x does not equal zero}
d. {x | x is a real number and x does not equal 6}
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! I need to find the domain of "p". The equation is:
p(x) = x^2 - 2x + 6
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Domain is a little bit of a tricky problem but
not on this question.
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There is nothing about P(x) to exclude any value for "x".
So the answer is {x|x is a real number}.
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Cheers,
Stan H.
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Multiple choice answers are:
a. {x | x is a real number}
b. {x | x is a real number and x is less than zero}
c. {x | x is a real number and x does not equal zero}
d. {x | x is a real number and x does not equal 6}
Answer by solver91311(24713)  (Show Source):
You can put this solution on YOUR website!
The domain of a function is the set of numbers that can be input as the value of the independent variable (generally speaking, the "x") for which the function is defined. Answers b, c, and d do not describe numbers for which ) is undefined, because, in fact, there are no such numbers.
In general, for any polynomial function, that is a function of the form:
\ =\ a_0x^n\ +\ a_1x^{n-1}\ +\ \cdots\ +\ a_ix^{n-i}\ +\ \cdots\ +\ a_n)
Where  , the domain is  , which is to say all real numbers.
Where you will see restrictions on the value of the independent variable is when you have a rational function such as:
\ =\ \frac{f(x)}{g(x)})
in this case, the domain would be all real numbers except any value that would make ) equal zero.
Another example would be if you had a function containing a radical with an even index.
\ =\ \sqrt{x\ -\ 1})
In this case  has no real values for  , hence the domain is 
John
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