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    Maths-
    General
    Easy

    Question

    The domain of the function  f left parenthesis x right parenthesis equals log subscript 3 plus x end subscript invisible function application open parentheses x squared minus 1 close parentheses text  is  end text

    1. left parenthesis negative 3 comma negative 1 right parenthesis union left parenthesis 1 comma straight infinity right parenthesis
    2. left square bracket negative 3 comma negative 1 right square bracket union left square bracket 1 comma straight infinity right square bracket
    3. left parenthesis negative 3 comma negative 2 right parenthesis union left parenthesis negative 2 comma negative 1 right parenthesis union left parenthesis 1 comma straight infinity right parenthesis
    4. left square bracket negative 3 comma negative 2 right parenthesis union left parenthesis negative 2 comma negative 1 right parenthesis union left parenthesis 1 comma straight infinity right parenthesis

    The correct answer is: left parenthesis negative 3 comma negative 2 right parenthesis union left parenthesis negative 2 comma negative 1 right parenthesis union left parenthesis 1 comma straight infinity right parenthesis

      The given function is defined when  x squared minus 1 semicolon 3 plus x greater than 0 text  and  end text 3 plus x not equal to 1
      table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow space of 1em x squared greater than 1 semicolon space of 1em 3 plus x greater than 0 text  and  end text x not equal to negative 2 end cell row cell not stretchy rightwards double arrow space of 1em minus 1 greater than x greater than 1 semicolon space of 1em x greater than negative 3 comma space of 1em x not equal to negative 2 end cell end table
      thereforeDomain of the function is
      D subscript f equals left parenthesis negative 3 comma negative 2 right parenthesis union left parenthesis negative 2 comma negative 1 right parenthesis union left parenthesis 1 comma straight infinity right parenthesis

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