Answer: 243
Explanation:
To find f(g(9)), we need to first substitute g(9) into the function f(x), and then evaluate the resulting expression.
Given that g(x) = 3√x, we can replace x with 9 (since we're looking for g(9)) in the expression for g(x):
g(9) = 3√9
Simplifying the square root of 9, we get:
g(9) = 3 * 3
g(9) = 9
Now, we can substitute g(9) into the function f(x) = x^3/3, replacing x with 9:
f(g(9)) = (9)^3/3
Using the exponent rule for cube, we get:
f(g(9)) = 729/3
Simplifying the division, we get:
f(g(9)) = 243
So, the value of f(g(9)) is 243.