Question

find the domain of the function
p(x)=x^2-2x+4

Answer 1

unless there is a denominator, the domain will be all real numbers since nothing can make that undefined.

Answer 2

crrct.

Answer 3

right but i have more to my options for the 1) x is a real number 2) x is a real number and x ≠0
3)x is a real number and x>0
4) x is a real number and x ≠ 4

Answer 4

x is any real number choice 1

Answer 5

jose, how are u selecting the option a?
can u please explain?

Answer 6

Any number you choose will get you an answer. if you have something like y=3/x
then if you choose x=0, you get undefined so whatever makes the denominator 0 or undefined is not part of the domain.

Answer 7

so even if there is a 2 and for within the function you can still choose any number to replace x?

Answer 8

I am not sure what you mean but if all numbers get you an answer when you substitute them for x, then the domain is all real numbers

Answer 9

ah ok that makes sense! Thank you!