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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

Answer the following: Find f ° g and g ° f: f(x) = 256x4, g(x) = x

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प्रश्न

Answer the following:

Find f ° g and g ° f: f(x) = 256x4, g(x) = `sqrt(x)`

बेरीज
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उत्तर

f(x) = 256x4, g(x) = `sqrt(x)`

(f ° g) (x) = f(g(x)) = `"f"(sqrt(x)) = 256 (sqrt(x))^4` = 256x2

(g ° f) (x) = g(f(x)) = g(256x4) = `sqrt(256x^4)` = 16x2

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Functions - Miscellaneous Exercise 6.2 [पृष्ठ १३०]

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बालभारती Mathematics and Statistics (Arts and Science) Part 2 [English] Standard 11 Maharashtra State Board
पाठ 6 Functions
Miscellaneous Exercise 6.2 | Q II. (12) (iii) | पृष्ठ १३०

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