Let and . Consider the quotient . Which option gives its simplest form together with…

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

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\}

x-2

, domain

\mathbb R\setminus\{-2\}

(d) Simplified form

x-2

, domain

\mathbb R\setminus\{2\}