Final answer:
To find f(-3) for the function f(x) = 3x³ + 7x² + 5x, you substitute -3 for x, calculate each term, and then add the results together to get -33.
Step-by-step explanation:
The question is asking us to evaluate the function f(x) = 3x³ + 7x² + 5x at x = -3.
Here's how you do it step by step:
- First, substitute -3 for every x in the function: f(-3) = 3(-3)³ + 7(-3)² + 5(-3).
- Next, calculate each term: 3(-3)³ = 3(-27) = -81, 7(-3)² = 7(9) = 63, and 5(-3) = -15.
- Add the results of each term to find the value of the function: -81 + 63 - 15 = -33.
Therefore, f(-3) is -33.