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Answer the following: Let f : R – {2} → R be defined by f(x) = x2-4x-2 and g : R → R be defined by g(x) = x + 2. Examine whether f = g or not - Mathematics and Statistics

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प्रश्न

Answer the following:

Let f : R – {2} → R be defined by f(x) = `(x^2 - 4)/(x - 2)` and g : R → R be defined by g(x) = x + 2. Examine whether f = g or not

योग

उत्तर

Since 2 ∉ domain of f, f(2) does not exist whereas g(2) exist because 2 ∈ domain of g and g(2) = 2 + 2 = 4

∴ f(x) ≠ g(x) for all x

Hence, f ≠ g.

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Functions - Miscellaneous Exercise 6.2 [पृष्ठ १३१]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] 11 Standard Maharashtra State Board
अध्याय 6 Functions
Miscellaneous Exercise 6.2 | Q II. (15) | पृष्ठ १३१

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