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Ask iit jee aieee pet cbse icse state board community Discussion Response Post to: The function f(x) = 2x + IxI. Then what is the value of f(2x) + f(-x) - f(x)? Please show the calcul
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NugoRama (4800)

Olaaa!! Perrrfect answer. 802  [1197 rates]

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f(x) = 2x + |x|

f(2x)=2(2x)+|2x| =4x+|2x|

f(-x) = -2x + |-x| = -2x + |x|

f(2x) + f(-x) - f(x) = 4x+|2x| -2x + |x| - 2x - |x|

                            = |2x|

 


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