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Kahn Academy Question, Please help!

Kahn Academy Question, Please help!-example-1
User Roy Robles
by
4.7k points

1 Answer

2 votes


g\circ f(-9)=g(f(-9))

By definition of
f,


f(-9)=3\cdot9-8=19

and by definition of
g,


g\circ f(-9)=g(f(-9))=g(19)=√(14-19)-10=√(-5)-10

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

User Mike Yawn
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4.5k points