Answer:
155
Explanation:
To find f(g(5)), we need to substitute the value of g(5) into the function f(x) and evaluate the expression.
1. The function g(x) is defined as g(x) = 3x^2, where "^" represents exponentiation.
2. To find g(5), we substitute 5 for x in the function g(x):
g(5) = 3(5)^2 = 3(25) = 75
3. Now we have the value of g(5), which is 75.
4. The function f(x) is defined as f(x) = 2x + 5.
5. To find f(g(5)), we substitute 75 for x in the function f(x):
f(g(5)) = f(75) = 2(75) + 5 = 150 + 5 = 155
Therefore, f(g(5)) is equal to 155.