SOLUTION: p(x)=x^2-2x+7 How would I find the domain?

Algebra ->  Functions -> SOLUTION: p(x)=x^2-2x+7 How would I find the domain?      Log On


   

Question 173901: p(x)=x^2-2x+7
How would I find the domain?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
The domain of a function is the set of values for which the function is defined. Since x%5E2-2x%2B7 produces a real number for any real number value of x, in other words, p%28x%29 is real for all real x, the domain is the set of all real numbers.

Contrast this with f%28x%29=1%2F%28x-1%29. Since the value 1 would make the denominator be zero, f%28x%29 is not defined at x=1, so the domain here is all real numbers such that x%3C%3E1.

Consider g%28x%29=sqrt%28x%29. sqrt%28x%29 is not defined in the reals for any value of x that is negative, so the domain of g%28x%29 is the set of all real numbers such that x%3E=0.

See?

Good luck and happy holidays.