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Find the range of the following functions given by 16-x2 - Mathematics

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प्रश्न

Find the range of the following functions given by `sqrt(16 - x^2)`

बेरीज

उत्तर

The domain of f

Where f(x) = `sqrt(16 - x^2)` is given by [– 4, 4]

For the range

Let y = `sqrt(16 - x^2)`

Then y2 = 16 – x2

or x2 = 16 – y2

Since x ∈ [– 4, 4]

Thus range of f = [0, 4]

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पाठ 2: Relations and Functions - Solved Examples [पृष्ठ २५]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
पाठ 2 Relations and Functions
Solved Examples | Q 8.(ii) | पृष्ठ २५

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