JEE Advanced 2020 Full Test 7 Paper 1

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Question : 45 of 54

Marks: +1, -0

Let f(‌

x+y

2

)=‌

f(x)+f(y)

2

for all real x and y. If f′(o) exists and equal to -1 and f(o)=1 then

f(x)=1−x
f(x)=1−x2
f(2)=−1
f(2)=1

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