Find the domain of the rational function k(x)= 3x-1 x^ 2 -5x+6

MATHEMATICS · Subjective · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

Find the domain of the rational function

k(x)=\frac{3x-1}{x^{2}-5x+6}.

Express your answer in both set–builder form and interval notation, showing all steps involved in your reasoning.