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Let the function f: R → R be defined by f(x) = 4x – 1, ∀ x ∈ R. Then, show that f is one-one.

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प्रश्न

Let the function f: R → R be defined by f(x) = 4x – 1, ∀ x ∈ R. Then, show that f is one-one.

योग
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उत्तर

For any two elements x1 , x2 ∈ R such that f(x1) = f(x2),

We have 4x1 – 1 = 4x2 – 1

⇒ 4x1 = 4x2 

i.e., x1 = x2

Hence f is one-one.

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अध्याय 1: Relations And Functions - Solved Examples [पृष्ठ ३]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 12
अध्याय 1 Relations And Functions
Solved Examples | Q 4 | पृष्ठ ३

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