Given that A = {x ϵ R: x ≤ 1} and f : A → A given by f(x) = x(2 – x).y = f(x)⇒ y = x(2 – x)⇒ y = 2x – x2⇒ y - 1 = 2x – x2 -1⇒ y – 1 = - (x2 + 1 – 2x)⇒ (x – 1)2 = 1 – y

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Class 12th RD Sharma - Volume 1 2. Functions

Answer :

Given that A = {x ϵ R: x ≤ 1} and f : A → A given by f(x) = x(2 – x).

y = f(x)

⇒ y = x(2 – x)

⇒ y = 2x – x²

⇒ y - 1 = 2x – x² -1

⇒ y – 1 = - (x² + 1 – 2x)

⇒ (x – 1)² = 1 – y

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Mark the correct A. B. C. D.

Mark the correct A.

B.

C.

D.