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Let f be a function defined on [0,2]. Th...

Let `f` be a function defined on [0,2]. The prove that the domain of function `g(x)i sf(9x^2-1)dot`

Text Solution

Verified by Experts

The correct Answer is:
`[-(1)/(sqrt(3)),-(1)/(3)] cup [(1)/(3),(1)/(sqrt(3))]`
g is meaningful if
`0 le 9x^(2) -1 le 2 hArr 1 le 9x^(2) le 3`
i.e., ` x in [-(1)/(sqrt(3)),-(1)/(3)] cup [(1)/(3),(1)/(sqrt(3))]`
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