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Answer the following: Find whether the following function is onto or not. f : Z → Z defined by f(x) = 6x – 7 for all x ∈ Z - Mathematics and Statistics

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प्रश्न

Answer the following:

Find whether the following function is onto or not.

f : Z → Z defined by f(x) = 6x – 7 for all x ∈ Z

योग

उत्तर

f(x) = 6x – 7 = y (say)

(x , y ∈ Z)

∴ x = `(7 + y)/6`

Since, every integer y does not give integer x.

∴ f is not onto.

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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. (3) (i) | पृष्ठ १३०

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