If f x = log e 1 - x 1 + x , x 1 , then f 2 x 1 + x 2 is equal to

Question

If f x = log e 1 - x 1 + x , x 1 , then f 2 x 1 + x 2 is equal to, f x 2, 2 f x 2, – 2 f x, 2 f x

MARKS App · Accepted Answer

f x = l n 1 - x 1 + x ⇒ f 2 x 1 + x 2 = l n 1 - 2 x 1 + x 2 1 + 2 x 1 + x 2 = l n 1 + x 2 - 2 x 1 + x 2 + 2 x = l n 1 - x 1 + x 2 = 2 l n 1 - x 1 + x = 2 l n 1 - x 1 + x ∵ x 1 = 2 f x

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