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Let f: R → R be the function defined by f(x) = sin (3x+2) ∀ x ∈ R. Then f is invertible. - Mathematics

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प्रश्न

Let f: R → R be the function defined by f(x) = sin (3x+2) ∀ x ∈ R. Then f is invertible.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

This statement is False.

Explanation:

Given that, f(x) = sin (3x+2) ∀ x ∈ R is not one-one fuction for all x ∈ R.

As sin (3x + 2) = 0

⇒3x + 2 = nπ, n ∈ Z

So, f is not invertible.

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अध्याय 1: Relations And Functions - Exercise [पृष्ठ १७]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 1 Relations And Functions
Exercise | Q 54 | पृष्ठ १७

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