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1 Answer
maganbhai P.
Mar 8, 2018

We will check for #x=pi/6 and y=pi/2#

Explanation:

Here,#f(x)=sinx#.
Take, #x=pi/6andy=pi/2#,we have,
#color(red)(f(x+y))=f(pi/6+pi/2)=f((2pi)/3)=sin((2pi)/3)=color(red)((sqrt3)/2 to(1))#
#color(red)(f(x)+f(y))=sin(pi/6)+sin(pi/2)=1/2+1=color(red)(3/2 to (2))#
From #(1) and (2),f(x+y)!=f(x)+f(y).#

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