Mathematics

Problem

Consider the function

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

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

f(x)

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

f(x)

using set–builder notation.