Consider the function f(x)= x^ 2 +2x-3 x^ 2 -x-2

MATHEMATICS · Multi-part · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

Consider the function

f(x)=\frac{x^{2}+2x-3}{x^{2}-x-2}.

Answer the following questions. (i) Define a rational function. (ii) Factorise the denominator of

f(x)

and list the real numbers that it makes inadmissible. (iii) Write the domain of

f(x)

using set–builder notation.