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Find the domain of definition of the function `f(x) = sqrt(x^(2) - 25)`

Text Solution

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For f(x) to be defined `f(x) ge 0`
i.e., `x^(2) - 25 ge 0`
`x^(2) ge 25`
sign scheme for `x^(2) - 25` is as follows

for `x^(2) ge 25`
`-oo lt x le -5` or `5 le x le oo`
Domain of `f(x) = ]-oo, -5] cup [5, oo[`
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