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find the domain of the given function

f(x)=square root 9-x

1 answer

You know that sqrt(u) has domain u>=0. In this case, u = 9-x. So, yu must have

9-x >= 0
9 >= x
or, as usually written
x <= 9
or
{x:x<=9}
or
x in (-oo,9]
depending on desired notation.

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