anonymous
  • anonymous
Let f(x)=x+3 and g(x)=(-)sqrt x find g(f(x)) what is the domain of g(f(x))?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
x>-3
anonymous
  • anonymous
can you please explain the steps to me?
anonymous
  • anonymous
sqrt is not defind (at least in R) for negative numbers. So x+3 have to be > 0

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hoblos
  • hoblos
to find g(f(x)) just put the expression of f(x) in the place of (x) in the expression of g(x0 g(f(x)) = -sqrt f(x) = -sqrt(x+3) square root is not defined for negative numbers so x+3 ≥0 x≥-3
anonymous
  • anonymous
hoblos i sright x>=-3
anonymous
  • anonymous
thank you so much!
anonymous
  • anonymous
how about this one?\[\sqrt{(9x^3+54x^2+81x)} /(x^3-4x^2+4x\]

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