juelchasse
juelchasse juelchasse
  • 06-05-2019
  • Mathematics
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Kahn Academy Question, Please help!

Kahn Academy Question Please help class=

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LammettHash
LammettHash LammettHash
  • 06-05-2019

[tex]g\circ f(-9)=g(f(-9))[/tex]

By definition of [tex]f[/tex],

[tex]f(-9)=3\cdot9-8=19[/tex]

and by definition of [tex]g[/tex],

[tex]g\circ f(-9)=g(f(-9))=g(19)=\sqrt{14-19}-10=\sqrt{-5}-10[/tex]

which is undefined if [tex]f,g[/tex] are supposed to be real-valued functions. If they're complex-valued, then [tex]\sqrt{-5}=i\sqrt 5[/tex] and [tex]g\circ f(-9)=-10+i\sqrt 5[/tex].

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