Let f(x)= cases 5-2x , & x<2, 1 x-2 , & x 2

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

Problem

Let

f(x)=\begin{cases}\sqrt{5-2x}, & x<2,\\ \dfrac{1}{x-2}, & x\ge 2.\end{cases}

Determine the domain of

f

. (a)

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

(b)

(-\infty,2.5]

(c)

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

(d)

(-\infty,2)\cup(2,2.5]