MATHEMATICS · Subjective · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions
Problem
Consider the function
f(x)=x−1x2−1,x=1.
Answer the following questions:
(i) Simplify f(x) algebraically.
(ii) After simplification, does the resulting expression represent a polynomial? State your reason.
(iii) Determine the degree and leading coefficient of the simplified expression.
(iv) State the domain of the original f(x) and of the simplified expression.