https://file.aiquickdraw.com/mathbot/file/1726870302990vor486og.jpg

The image contains two functions: 
\[ f(x) = 3x^3 + 5 \quad \text{and} \quad g(x) = 4x - 1 \]
The problem asks to evaluate:
- \( f(-4) \)
- \( g(-7) \)

Let's start by calculating both values.

### For \( f(-4) \):
\[
f(-4) = 3(-4)^3 + 5 = 3(-64) + 5 = -192 + 5 = -187
\]

### For \( g(-7) \):
\[
g(-7) = 4(-7) - 1 = -28 - 1 = -29
\]

Thus, the results are:
- \( f(-4) = -187 \)
- \( g(-7) = -29 \)

Would you like more details on these calculations?

Here are some related questions:
1. How do you evaluate a cubic function?
2. What are common transformations of cubic functions?
3. What happens if you input positive values for \( f(x) \)?
4. How does the slope of \( g(x) = 4x - 1 \) affect its graph?
5. What is the difference between linear and cubic functions?

**Tip:** Always simplify the powers and products first when evaluating functions with exponents.

The functions f and g are defined as follows: f(x) = 3x^3 + 5 and g(x) = 4x - 1. Find f(-4) and g(-7). Simplify your answers as much as possible.

Learn how to evaluate the cubic function f(x) = 3x^3 + 5 at x = -4 and the linear function g(x) = 4x - 1 at x = -7. Simplified answers and step-by-step solution provided. Suitable for students in Grades 9-12.

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