Question

How do you find the domain of `p(x)=x^2-2x+8`?

Answer 1

The domain of a function is basically all the values that `x` can take.

In a polynomial function like yours, `x` can be any real numbers, so the domain is :
`D = RR`.

If your function was something like `p(x) = 1/x`, you would make sure that zero is excluded since you can't divide by zero :

`D = RR-{0}` or `D = ]-oo,0[ uu ]0, +oo[`.