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Question

Lt subscript x not stretchy rightwards arrow 4 end subscript fraction numerator square root of x minus 2 over denominator x minus 4 end fraction

  1. 1 half   
  2.  
  3.  
  4. 1 fourth   

The correct answer is: 1 fourth 

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Iftext end text f colon left square bracket negative 2 comma 2 right square bracket rightwards arrow R text  is end text defined by f left parenthesis x right parenthesis equals open curly brackets table row cell fraction numerator square root of 1 plus c x end root minus square root of 1 minus c x end root over denominator x end fraction comma text end text text f end text text o end text text r end text text end text minus 2 less or equal than x less than 0 end cell row cell fraction numerator x plus 3 over denominator x plus 1 end fraction comma text end text text f end text text o end text text r end text text end text 0 less or equal than x less or equal than 2 end cell end table close is continuous on [-2,2] then c =

f left parenthesis 0 plus right parenthesis equals f left parenthesis 0 minus right parenthesis

Iftext end text f colon left square bracket negative 2 comma 2 right square bracket rightwards arrow R text  is end text defined by f left parenthesis x right parenthesis equals open curly brackets table row cell fraction numerator square root of 1 plus c x end root minus square root of 1 minus c x end root over denominator x end fraction comma text end text text f end text text o end text text r end text text end text minus 2 less or equal than x less than 0 end cell row cell fraction numerator x plus 3 over denominator x plus 1 end fraction comma text end text text f end text text o end text text r end text text end text 0 less or equal than x less or equal than 2 end cell end table close is continuous on [-2,2] then c =

maths-General
f left parenthesis 0 plus right parenthesis equals f left parenthesis 0 minus right parenthesis