A Level

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

Problem

Let

g(x)=\dfrac{4x+1}{x-2}

. (i) Find the domain of

g

. (ii) Express

x

in terms of

y

from the equation

g(x)=y

. (iii) Hence obtain the range of

g

and write it in interval notation.