A Level

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

Problem

Let

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

. (i) State separately the two conditions that

x

must satisfy so that

g(x)

is defined. (ii) Explain, in words, how these two conditions combine to give the overall domain of

g

. (iii) Write the domain of

g

in set–builder form.