Consider the function given by .

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

Problem

Consider the function

f: \mathbb{R}\setminus\{-2\}\to\mathbb{R}

given by

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

. (a) Determine whether

f

is injective. (b) Determine whether

f

is surjective onto

\mathbb{R}

.

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