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Let f: N → R be the function defined by f(x) = 2x-12 and g: Q → R be another function defined by g(x) = x + 2. Then (g o f) 32 is ______. - Mathematics

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प्रश्न

Let f: N → R be the function defined by f(x) = `(2x - 1)/2` and g: Q → R be another function defined by g(x) = x + 2. Then (g o f) `3/2` is ______.

विकल्प

  • 1

  • 1

  • `7/2`

  • None of these

MCQ
रिक्त स्थान भरें

उत्तर

Let f: N → R be the function defined by f(x) = `(2x - 1)/2` and g: Q → R be another function defined by g(x) = x + 2. Then (g o f) `3/2` is none of these.

Explanation:

We have f(x) = `(2x - 1)/2` and g(x) = x + 2

gof`(3/2)` = g`(f(3/2))`

= `"g"((2 xx 3/2 - 1)/2)`

= g(1) = 1 + 2

= 3

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अध्याय 1: Relations And Functions - Exercise [पृष्ठ १६]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 1 Relations And Functions
Exercise | Q 45 | पृष्ठ १६

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