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How do you find the domain of #|2x + 1|#?

Answer 1

The domain is all real numbers, or #RR#.

The domain of a real function, or expression, is a set that contains every possible value the independent variable (#x#, in our case) can take, so that the evaluation is possible and makes sense.

#abs(2x-1)# makes sense for any real value of #x#, therefore its domain is all real numbers.

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Answer 2

Savannah Anderson

To find the domain of the absolute value function (|2x + 1|), we note that the absolute value function is defined for all real numbers. Therefore, the domain of (|2x + 1|) is all real numbers.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.