If for , what is the range of…

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

Problem

y=\dfrac{1}{|x-1|}

for

x\ne1

, what is the range of

y

? (a)

(0,1]

(b)

(0,\infty)

(c)

[1,\infty)

(d)

\mathbb{R}\setminus\{0\}