Consider the statements given below about rational functions.
MATHEMATICS · Multi-part · AoPS · Mathematics · Special Functions · Special Functions
Problem
Consider the statements given below about rational functions.
(i) Define a rational function and the domain of a rational function.
(ii) For the function f(x)=x2+13x−1, determine the excluded values, if any, and explain your reasoning.
(iii) Using your answer in part (ii), state the domain of f(x) and justify it fully.