Let , where denotes the natural…

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

Problem

Let

p(x)=\dfrac{\sqrt{3x-x^{2}}}{\ln (x-1)}

, where

\ln

denotes the natural logarithm. (i) Find the domain of

p

. (ii) Determine whether

x=2

belongs to the domain, giving a reason. (iii) Express the domain in interval form.