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CBSE Class 12-science Answered

what is the range of f(x)= |x-1|/ x-1 
Asked by niharikapabba2605 | 12 Oct, 2018, 07:31: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight f left parenthesis straight x right parenthesis equals fraction numerator open vertical bar straight x minus 1 close vertical bar over denominator straight x minus 1 end fraction
function space is space defined space for space all space straight x space element of space straight R space except space at space straight x space equals space 1
Hence comma space domian space is space straight f space equals space straight R space minus space left curly bracket 1 right curly bracket
straight f left parenthesis straight x right parenthesis equals fraction numerator straight x minus 1 over denominator straight x minus 1 end fraction equals 1 space if space straight x greater than 1
straight f left parenthesis straight x right parenthesis equals fraction numerator negative left parenthesis straight x minus 1 right parenthesis over denominator straight x minus 1 end fraction equals negative 1 space if space straight x less than 1
Range space of space straight f space equals space left curly bracket 1 comma space minus 1 right curly bracket
end style
Answered by Sneha shidid | 13 Oct, 2018, 08:30: PM
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