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Answer the following: Find (f ° f) (x) if f(x) = 2x+13x-2 - Mathematics and Statistics

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प्रश्न

Answer the following:

Find (f ° f) (x) if f(x) = `(2x + 1)/(3x - 2)`

योग

उत्तर

f(x) = `(2x + 1)/(3x - 2)`

f(f(x)) = `"f"((2x + 1)/(3x - 2))`

= `(2((2x + 1)/(3x - 2)) + 1)/(3((2x + 1)/(3x - 2)) - 2)`

= `(4x + 2 + 3x - 2)/(6x + 3 -6x + 4)`

= `(7x)/7`

= x

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Algebra of Functions
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Functions - Miscellaneous Exercise 6.2 [पृष्ठ १३२]

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. (44) (b) | पृष्ठ १३२

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