यदि f(x) = तो f^-1(x) = ?

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Question

This question was previously asked in

Agniveer Navy SSR: 25th May 2025 Shift 2 Memory-Based Paper

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Answer 1

अवधारणा:

फलन:

यदि y = f(x) तो हम कहते हैं कि x = f^-1(y)

गणना:

माना कि y = f(x) =

⇒ y(1 + x) = 1 - x

⇒ y + xy = 1 - x

⇒ xy + x = 1 - y

⇒ x(1 + y) = 1 - y

⇒ x = = f^-1(y)

y को x से प्रतिस्थापित करते हुए, हम कह सकते हैं कि:

f-1(x) =