Let and . Answer the following: (a) Find the domain of . (b) For which real numbers…

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Let

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

and

h(u)=\dfrac{1}{\sqrt{u}-3}

. Answer the following: (a) Find the domain of

f

. (b) For which real numbers

u

h(u)

defined? (c) Hence obtain the complete domain of the composite function

(h\circ f)(x)

, and write your answer in interval notation.