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If F : R → R is Defined by F(X) = X2, Write F−1 (25)

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प्रश्न

If f : R → R is defined by f(x) = x2, write f−1 (25)

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उत्तर

Let f−1 (25) =x            ... (1)

⇒ f (x) = 25

⇒ x2 = 25

⇒ x2 − 25 = 0

⇒ (x−5) (x+5) = 0

⇒ x = ±5

⇒ f−1 (25) = {−5, 5}       [from (1)]

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अध्याय 2: Functions - Exercise 2.5 [पृष्ठ ७३]

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आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
अध्याय 2 Functions
Exercise 2.5 | Q 6 | पृष्ठ ७३

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