What is the range of the function f(x) = 2/(x-1)?

1 Answer
Jim G.
May 14, 2017

y inRR,y!=0

Explanation:

"rearrange f(x) making x the subject"

rArry=2/(x-1)

rArry(x-1)=2

rArrxy-y=2

rArrxy=2+y

rArrx=(2+y)/y

The denominator cannot be zero as this would make it color(blue)"undefined" Equating the denominator to zero and solving gives the value that y cannot be.

rArry=0larrcolor(red)"excluded value"

rArr"range is " y inRR,y!=0

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