SOLUTION: Can you please help me answer this question? Find f(g(x)) and state its domain. f(x)=x^3,g(x)=3sqrt(1-x^3) My answer options: A.f(g(x))=sqrtx^3, domain:(neg. infinity, pos. infi

Algebra ->  Algebra  -> Functions -> SOLUTION: Can you please help me answer this question? Find f(g(x)) and state its domain. f(x)=x^3,g(x)=3sqrt(1-x^3) My answer options: A.f(g(x))=sqrtx^3, domain:(neg. infinity, pos. infi      Log On

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Question 123823This question is from textbook Precalculus Graphical, Numerical, Algebraic
: Can you please help me answer this question?
Find f(g(x)) and state its domain. f(x)=x^3,g(x)=3sqrt(1-x^3)
My answer options:
A.f(g(x))=sqrtx^3, domain:(neg. infinity, pos. infinity)
B.f(g(x))=1-x^3, domain:(neg. infinity, pos. infinity)
c.f(f(x))=0, domain:(-1,1)
D.f(g(x))=x^3, domain: [-1,1]
This is written exact.
Hope you can help me, thank you?This question is from textbook Precalculus Graphical, Numerical, Algebraic

Answer by stanbon(48535) About Me  (Show Source):
You can put this solution on YOUR website!
Find f(g(x)) and state its domain. f(x)=x^3,g(x)=cube root(1-x^3)
My answer options:
A.f(g(x))=sqrtx^3, domain:(neg. infinity, pos. infinity)
B.f(g(x))=1-x^3, domain:(neg. infinity, pos. infinity)
c.f(f(x))=0, domain:(-1,1)
D.f(g(x))=x^3, domain: [-1,1]
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f(g(x)) = f[cube root(1-x^3)] = [cube root(1-x^3)]^3 = 1-x^3
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Answer: B
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Cheers,
Stan H.