Mathematics

Problem

Let

f(x)=x^{2}-4

and

g(x)=x+2

. Consider the quotient

\left(\dfrac{f}{g}\right)(x)

. Which option gives its simplest form together with its domain? a) Simplified form

x-2

, domain

\mathbb R

b) Simplified form

x+2

, domain

\mathbb R\setminus\{-2\}

c) Simplified form

x-2

, domain

\mathbb R\setminus\{-2\}

d) Simplified form

x-2

, domain

\mathbb R\setminus\{2\}