How do you find the domain of $f (x) = {(x - 3)}^{\frac{1}{2}}$ $f(x) = (x - 3)^(1/2)$ ?

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Answer 1 · 2018-06-21T06:28:09

$x - 3 \geq 0$ $x-3>=0$
so $x \geq 3$ $x>=3$ this the domain is $[3, \infty)$ $[3, oo)$

For any even root, the expression under the radical must be greater than or equal to 0. Solving this inequality gives the domain.

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