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

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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 g o g

बेरीज

उत्तर

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

gog = g(g(x))

= g(2x – 3)

= 2(2x – 3) – 3

= 4x – 6 – 3

= 4x – 9

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Inverse of a Function
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पाठ 1: Relations And Functions - Exercise [पृष्ठ १३]

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

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