Question 1132985

{{{f(x)= x-x^2+1}}}


The domain of a function is defined as the values of {{{x}}} for which the function takes real values.

The function in your case has no undefined points nor domain constraints. Therefore, the domain  is: 

 {{{R}}}, all real numbers

solution: {{{-infinity<x<infinity}}}
interval notation: ({{{-infinity}}},{{{infinity}}})