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If f(x) = 3x + 5, g(x) = 6x − 1, then find (fg)(x) and its domain - Mathematics and Statistics

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प्रश्न

If f(x) = 3x + 5, g(x) = 6x − 1, then find `("f"/"g") (x)` and its domain

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उत्तर

f(x) = 3x + 5, g(x) = 6x − 1

`("f"/"g") (x) = f(x)/g(x) = (3x + 5)/(6x - 1)`

`("f"/"g")(x)` is not defined if 6x − 1 = 0

i.e., if x = `1/6`

∴ Domain of `("f"/"g")  = {x//x ∈ R, x ≠ 1/6}`

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अध्याय 6: Functions - Exercise 6.2 [पृष्ठ १२७]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] 11 Standard Maharashtra State Board
अध्याय 6 Functions
Exercise 6.2 | Q 1. (d) | पृष्ठ १२७

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