Sometimes the two portions will meet at these points

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Unformatted text preview: t happy (i.e. no square root of negative numbers) we’ll need to require that, © 2007 Paul Dawkins 184 http://tutorial.math.lamar.edu/terms.aspx College Algebra 10 x - 5 ³ 0 10 x ³ 5 1 x³ 2 So, at the least we’ll need to require that x ³ 1 in order to avoid problems with the square root. 2 Now, let’s see if we have any division by zero problems. Again, to do this simply set the denominator equal to zero and solve. x 2 - 16 = ( x - 4 ) ( x + 4 ) = 0 Þ x = -4, x = 4 Now, notice that x = -4 doesn’t satisfy the inequality we need for the square root and so that value of x has already been excluded by the square root. On the other hand x = 4 does satisfy the inequality. This means that it is okay to plug x = 4 into the square root, however, since it would give division by zero we will need to avoid it. The domain for this function is then, Domain : x ³ 1 except x = 4 2 [Return to Problems] © 2007 Paul Dawkins 185 http://tutorial.math.lamar.edu/terms.aspx College Algebra Graphing Functions Now we need to discuss graphin...
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