Answer :
Final answer:
To evaluate the composite function f(g(2)), substitute 2 into the function g(x) and then substitute the result into the function f(x). The value of f(g(2)) is 11.
Explanation:
To evaluate the composite function f(g(2)), we first substitute 2 into the function g(x):
g(2) = 3(2) - 4 = 6 - 4 = 2
Next, we substitute the result from g(2) into the function f(x):
f(g(2)) = f(2) = 2(2)^2 + 3 = 2(4) + 3 = 8 + 3 = 11
Therefore, the value of f(g(2)) is 11.