What expression is equivalent to g(f(3)) if f(x) is defined as 4x² and g(x) is defined as 6x?

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To find the expression equivalent to g(f(3)), we need to evaluate the function f(x) first, and then use this result to evaluate g(x).

1. **Calculate f(3):**

Given the function f(x) = 4x², we can substitute x with 3:

f(3) = 4(3)² = 4(9) = 36

2. **Then, calculate g(f(3)):**

Now we take the result from f(3) and plug it into the function g(x) = 6x:

g(f(3)) = g(36) = 6(36) = 216

Therefore, the expression equivalent to g(f(3)) is 216.

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