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]<br />(C) <img src="data:image/png;base64,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" class="Wirisformula" alt="left parenthesis negative infinity comma 2 minus 2 square root of 3 right square bracket union left square bracket 2 plus 2 square root of 3 comma infinity right parenthesis" width="222" height="19" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»(«/mo»«mo»-«/mo»«mi»∞«/mi»«mo»,«/mo»«mn»2«/mn»«mo»-«/mo»«mn»2«/mn»«msqrt»«mn»3«/mn»«/msqrt»«mo»]«/mo»«mo»∪«/mo»«mo»[«/mo»«mn»2«/mn»«mo»+«/mo»«mn»2«/mn»«msqrt»«mn»3«/mn»«/msqrt»«mo»,«/mo»«mi»∞«/mi»«mo»)«/mo»«/math»'/>

Range of function f(x) = <img src="data:image/png;base64,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" class="Wirisformula" alt="fraction numerator x to the power of 2 end exponent plus 2 x plus 3 over denominator x end fraction" width="92" height="39" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mfrac»«mrow»«msup»«mrow»«mi»x«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«mo»+«/mo»«mn»2«/mn»«mi»x«/mi»«mo»+«/mo»«mn»3«/mn»«/mrow»«mrow»«mi»x«/mi»«/mrow»«/mfrac»«/math»'/>, <img src="data:image/png;base64,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" class="Wirisformula" alt="x element of times R" width="50" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»x«/mi»«mo»∈«/mo»«mo»⋅«/mo»«mi»R«/mi»«/math»'/> is given by -

Solution for the question - range of function f(x) = (x^(2)+2x+3)/(x) , x in-r is given by - 2pi   3pi//2   il   pi//2