The function is defined as f(x)= cases x+1 x-1 , & x<2

MATHEMATICS · Single correct · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

The function

f

is defined as

f(x)=\begin{cases} \dfrac{x+1}{x-1}, & x<2,\\ \dfrac{x^{2}-1}{x-2}, & x\ge 2. \end{cases}

Identify its domain. (a)

(-\infty,1)\cup(1,2)\cup(2,\infty)

(b)

(-\infty,2)\cup(2,\infty)

(c)

(-\infty,1)\cup(1,\infty)

(d)

(-\infty,-1)\cup(-1,1)\cup(1,2)\cup(2,\infty)