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

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प्रश्न

Answer the following:

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

योग

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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Algebra of Functions
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Functions - Miscellaneous Exercise 6.2 [पृष्ठ १३०]

APPEARS IN

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

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