My Math Forum Finding the Range of an Equation

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 March 8th, 2015, 03:11 PM #1 Newbie   Joined: Mar 2015 From: United States Posts: 2 Thanks: 0 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?
 March 8th, 2015, 03:35 PM #2 Global Moderator   Joined: May 2007 Posts: 6,807 Thanks: 717 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. Thanks from caspia Last edited by skipjack; March 8th, 2015 at 07:39 PM.
 March 8th, 2015, 07:36 PM #3 Global Moderator   Joined: Dec 2006 Posts: 20,931 Thanks: 2206 The range is the non-negative reals, i.e., [0, ∞).
March 8th, 2015, 08:00 PM   #4
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Quote:
 Originally Posted by mathman 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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