मराठी

Functions f , g: R → R are defined, respectively, by f(x) = x 2 + 3x + 1, g(x) = 2x – 3, find f o g

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प्रश्न

Functions f , g: R → R are defined, respectively, by f(x) = x 2 + 3x + 1, g(x) = 2x – 3, find f o g

बेरीज
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उत्तर

Given, f(x) = x2 + 3x + 1, g(x) = 2x – 3

fog = f(g(x))

= f(2x – 3)

= (2x – 3)2 + 3(2x – 3) + 1

= 4x2 + 9 – 12x + 6x – 9 + 1

= 4x2 – 6x + 1

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पाठ 1: Relations And Functions - Exercise [पृष्ठ १३]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 12
पाठ 1 Relations And Functions
Exercise | Q 25. (i) | पृष्ठ १३
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