Maths-
General
Easy

Question

The range of the function f left parenthesis x right parenthesis equals fraction numerator 2 plus x over denominator 2 minus x end fraction comma x not equal to 2 text end textis-

  1. R    
  2. R – {–1}    
  3. R – {1}    
  4. R – {2}    

hintHint:

 
 
 

The correct answer is: R – {–1}


    To find the range of the given function.
    Let f(x)=y,

    y equals fraction numerator 2 plus x over denominator 2 minus x end fraction

    2yxy=2+x

    2y2=x(1+y)

    x equals fraction numerator 2 left parenthesis y minus 1 right parenthesis over denominator y plus 1 end fraction

    y cannot take '-1' value as x is not defined for that value.

    Hence, range of the given function will be R{1}

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