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Find the range of the following functions given by |x-4|x-4 - Mathematics

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प्रश्न

Find the range of the following functions given by `|x - 4|/(x - 4)`

योग
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उत्तर

f(x) = `|x - 4|/(x - 4)`

= `{{:((x - 4)/(x - 4) = 1",",  x > 4),((-(x - 4))/(x - 4) = -1",", x < 4):}`

Thus the range of `|x - 4|/(x - 4) = {1, -1}`.

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

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