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Let f: R → R be the function defined by f(x) = 4x – 3 ∀ x ∈ R. Then write f–1

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प्रश्न

Let f: R → R be the function defined by f(x) = 4x – 3 ∀ x ∈ R. Then write f–1 

योग
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उत्तर

Given that f(x) = 4x – 3 = y (say), then

4x = y + 3

⇒ x = `(y + 3)/4`

Hence f–1(y) = `(y + 3)/4`

⇒  f–1(x) = `(x + 3)/4`

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अध्याय 1: Relations And Functions - Solved Examples [पृष्ठ ४]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 12
अध्याय 1 Relations And Functions
Solved Examples | Q 6 | पृष्ठ ४

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