anonymous
  • anonymous
Can someone teach me how to find the domain of an expression: sqrt(x(x-2))
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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amistre64
  • amistre64
sqrt(a) is valid for all positive a values
amistre64
  • amistre64
so whatever makes the innards go less than zero is bad
anonymous
  • anonymous
Since it is a sqrt, you cannot have your value inside to be a negative. So, this means that your x(x-2) >= 0

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anonymous
  • anonymous
I plotted this function and I got:
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amistre64
  • amistre64
that looks about right; since you got a quadratic in there its gonna act wierd like that
amistre64
  • amistre64
at 0 and 2 we have roots <...........0.........2.........> - + + - - + ------------------- + - + Domain: (-inf,0] or [2,inf)
anonymous
  • anonymous
can you show the work, please?
amistre64
  • amistre64
that is the work
anonymous
  • anonymous
the formulas. Analitically
anonymous
  • anonymous
Im really good at finding the domain graphically
amistre64
  • amistre64
sqrt[x(x-2)] is already factored out .... i really cant see much else to do with it other than plot it on a number line and show the +- ranges
amistre64
  • amistre64
x = 0 when x = 0 x-2 = 0 when x = 2
anonymous
  • anonymous
x>=0 x>=2 both inequalities are true
amistre64
  • amistre64
<...................0.................2................> x<0; - x>0; + + x<2; - - x>2; + ------------------------------------- -*- = + +*-=- +*+=+
amistre64
  • amistre64
Domain: (-inf,0] or [2,inf)
anonymous
  • anonymous
ahhh got it

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