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

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Question

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

Sum

Solution

`("f"/"g") x = ("f"(x))/("g"(x))`

= `(3x+5)/(6x-1), x≠1/6`

Domain = R – `{1/6}`

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Fundamental Functions
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Chapter 2: Functions - Exercise 2.1 [Page 31]
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