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Answer the following: Find the domain of the following function. f(x) = x2+4x+4x2+x-6 - Mathematics and Statistics

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प्रश्न

Answer the following:

Find the domain of the following function.

f(x) = `(x^2 + 4x + 4)/(x^2 + x - 6)`

योग

उत्तर

f(x) = `(x^2 + 4x + 4)/(x^2 + x - 6)`

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

f(x) is not defined if (x + 3) (x – 2) = 0,

i.e., if x = – 3 or x = 2

∴ Domain = R – {2, – 3}

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  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. (40) (a) | पृष्ठ १३२

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