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Let f(x) ={{:( x+2, 0 le x lt 2),( 6-x, x ge 2):}, g(x)={{:( 1+ tan x, 0le x lt (pi) /(4)),( 3-cotx,(pi)/(4) le x lt pi ):} the numberof pointof non - differentiability ofh(x) =|f(g(x))|is

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Answer :B


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