Consider the function h(x)= x+2 x^ 2 -4 - 3 x 2x-1 x-3

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · AoPS

Problem

Consider the function

h(x)=\frac{\dfrac{x+2}{x^{2}-4}-\dfrac{3}{x}}{\dfrac{2x-1}{x-3}}.

Which of the following is the domain of

h

? (a)

\mathbb R\setminus\{-2,0,2,3\}

(b)

\mathbb R\setminus\{-2,0,\tfrac12,2\}

(c)

\mathbb R\setminus\{-2,0,\tfrac12,2,3\}

(d)

\mathbb R\setminus\{0,\tfrac12,3\}