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Answer the following: Find f ° g and g ° f : f(x) = x2 + 5, g(x) = x – 8 - Mathematics and Statistics

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प्रश्न

Answer the following:

Find f ° g and g ° f : f(x) = x2 + 5, g(x) = x – 8

बेरीज
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उत्तर

f(x) = x2 + 5, g(x) = x – 8

(f ° g) (x) = f[g(x)]

= f(x –  8)

= (x –  8)2 + 5

= x2 – 16x + 64 + 5

= x2 –  16x + 69

(g ° f) (x) = g[f(x)]

=g[x2 + 5)

= (x2 +5) –  8

= x2 – 3

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

APPEARS IN

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

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