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Find the domain of the following function given by: f(x) = 3x2x-8 - Mathematics

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प्रश्न

Find the domain of the following function given by:

f(x) = `(3x)/(2x - 8)`

योग

उत्तर

f(x) = `(3x)/(2x - 8)`

A function is undefined when the denominator equals 0. So, set the denominator 2x − 8 equal to 0: 

2x − 8 = 0

2x = 8

x = 4

The function f(x) is undefined at x = 4 because division by zero is not allowed. 

Doamin of f(x) = R − {4}

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अध्याय 2: Relations and Functions - Exercise [पृष्ठ २९]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 2 Relations and Functions
Exercise | Q 17.(v) | पृष्ठ २९

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