Question 1205544: Use set-builder notation to identify the domain and range for function f. Found 2 solutions by greenestamps, math_tutor2020:Answer by greenestamps(13200) (Show Source):
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You haven't posted a function, but I'll provide an example of domain in set-builder notation.
The function has the domain since x = 2 leads to a division by zero error. Any other x value will work.
The notation shown above translates to "The domain is x such that x is a real number and "
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Another example:
has the domain
If x = 5 or larger, then the stuff under the square root (aka radicand) is nonnegative.
If x < 5, then the radicand is negative, leading to f(x) outputs to be nonreal complex values.