Consider the function given by with domain .

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

Problem

Consider the function

g

given by

g(x)=\dfrac{3}{x-2}

with domain

\mathbb{R}\setminus\{2\}

. (i) Find the range of

g

. (ii) Determine

g^{-1}

and state its domain and range. (iii) Verify that

g(g^{-1}(y))=y

for every permissible

y

.

Related theory

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