To find the expression equivalent to g(f(3)), we need to evaluate it step by step.
First, we calculate f(3):
f(x) = 4x²
Substituting x with 3:
f(3) = 4(3)² = 4(9) = 36
Now that we have f(3) = 36, we will plug this result into g(x).
Next, we calculate g(36):
g(x) = 6x
Substituting x with 36:
g(36) = 6(36) = 216
Therefore, g(f(3)) = g(36) = 216.
In conclusion, the expression equivalent to g(f(3)) is 216.