Suppose that $f(x)$ and $g(x)$ are polynomials of degree $4$ and $5$ respectively.  What is the degree of $f(x^3) \cdot g(x^2)$?
Question:
Suppose that $f(x)$ and $g(x)$ are polynomials of degree $4$ and $5$ respectively.  What is the degree of $f(x^3) \cdot g(x^2)$?
Answer:
Let's think step by step.

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Suppose that $f(x)$ and $g(x)$ are polynomials of degree $4$ and $5$ respectively.  What is the degree of $f(x^3) \cdot g(x^2)$?
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