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March 8th, 2015, 03:11 PM   #1
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Finding the Range of an Equation

Hello! I just need help with one problem. I have to find the range of the equation sqrt(x-10). Is there an easy way to find the range with just the equation?
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March 8th, 2015, 03:35 PM   #2
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sqrt(x-10) is not an equation (no equals sign). As an expression, you need to specify whether you are talking about real or complex functions.

If real, the domain is x > 10. If complex, anything.

To get the range for real, it is customary to define it to be all positive numbers, although all real numbers are in the range, since it is double-valued.
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Last edited by skipjack; March 8th, 2015 at 07:39 PM.
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March 8th, 2015, 07:36 PM   #3
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The range is the non-negative reals, i.e., [0, ∞).
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March 8th, 2015, 08:00 PM   #4
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Quote:
Originally Posted by mathman View Post
sqrt(x-10) is not an equation (no equals sign).

If real, the domain is x > 10. If complex, anything.
The domain is $\displaystyle \ x \ge 10.$
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