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Question

If f(x) + f(1x) = 1x, x 0 then maximum value of f(x) is

A
1
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B
-1
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C
12
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D
-2
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Solution

The correct option is C 12
f(x) + f(1x)=1x
replace x with 1xthenf(1x) + f(x) = x
x=1x
x = ±1
f(x) is a constant for value at x = ±1
f(1) + f(1) = 1
f(1) = 12
f(-1) = 12

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