Consider the function

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

f(x)=\dfrac{x^{2}-4}{(x-3)(x+2)}

. Answer the following: (i) List all real numbers that cannot be taken as input for

f

. (ii) Write the domain of

f

in set–builder form. (iii) Express the same domain in interval notation.