Final answer:
To find f(g(3)), first evaluate g(3) which is 9, then substitute this into function f to get f(9), which simplifies to 25.
Step-by-step explanation:
The question requires finding the value of the composite function f(g(3)) where f(y) = 3y - 2 and g(y) = y². First, we calculate the value of g(3), which is simply plugging 3 into the function g, leading to g(3) = 3² = 9. Next, we take this result and plug it into the function f, which becomes f(g(3)) = f(9) = 3(9) - 2. Simplifying this, we get f(g(3)) = 27 - 2 = 25. Therefore, f(g(3)) equals 25.