SOLUTION: If f(x) = ∛x and g(x) = x^3 + 8, find (f • g)(3).

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Question 1119328: If f(x) = ∛x and g(x) = x^3 + 8, find (f • g)(3).
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Piece-wise, plug in x=3 into g(x), plug that result into f(x):
g(3) = +3%5E3%2B8+=+35+
and f(35) = +root%283%2C35%29+


Composing f o g(x) first, then plugging in x=3:
+g%28x%29+=+x%5E3+%2B+8+
and +f%28x%5E3%2B8%29+=++root%283%2C+x%5E3%2B8%29+=+f%28g%28x%29%29+
+f%28g%283%29%29+=+root%283%2C+3%5E3%2B8%29+=+root%283%2C35%29+