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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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Question

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

Sum
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Solution

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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Chapter 1: Relations And Functions - Solved Examples [Page 4]

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NCERT Exemplar Mathematics Exemplar [English] Class 12
Chapter 1 Relations And Functions
Solved Examples | Q 6 | Page 4

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