A Level

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

Problem

Let

p(x)=\dfrac{\sqrt{3x-2}}{x+5}

. (i) Write the conditions that

x

must satisfy so that

p(x)

is defined as a real number. (ii) Solve the conditions obtained in (i) to determine the domain of

p

and express it in interval notation.