SOLUTION: If f(x) = 2x2 and g(x)= x2 + 2x, which expression represents f(g(x))?

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Question 1151129: If f(x) = 2x2 and g(x)= x2 + 2x, which expression represents f(g(x))?
Answer by greenestamps(13215) About Me  (Show Source):
You can put this solution on YOUR website!


Use "^" to denote exponentiation: for example, "2x^2" instead of just "2x2"....

f%28x%29+=+2x%5E2%29
g%28x%29+=+x%5E2%2B2x

To find the expression for f(g(x)), replace "x" in the definition of f(x) with g(x) -- i.e., replace "x" with "x^2+2x":

f%28g%28x%29%29+=+2%28x%5E2%2B2x%29%5E2

Then presumably that answer is supposed to be simplified; I leave that to you.