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The functions \( f(x) = -4x - 3 \) and \( g(x) = 2x^3 + 6 \) are given, and you're asked to find \( f(6) \) and \( g(-4) \).

Let's solve these:

### 1. Finding \( f(6) \):
Substitute \( x = 6 \) into \( f(x) \):
\[
f(6) = -4(6) - 3 = -24 - 3 = -27
\]

### 2. Finding \( g(-4) \):
Substitute \( x = -4 \) into \( g(x) \):
\[
g(-4) = 2(-4)^3 + 6 = 2(-64) + 6 = -128 + 6 = -122
\]

### Final answers:
- \( f(6) = -27 \)
- \( g(-4) = -122 \)

Would you like any further details or have any questions?

Here are some related questions:
1. What is \( f(0) \) and \( g(0) \)?
2. Can you explain the behavior of \( f(x) \) for large \( x \)?
3. What is the domain and range of \( f(x) \) and \( g(x) \)?
4. How would \( g(x) \) behave as \( x \to \infty \)?
5. Find the zeros of both \( f(x) \) and \( g(x) \).

**Tip:** Always substitute values carefully and simplify step-by-step to avoid errors in calculations!

Find f(6) and g(-4) for the functions f(x) = -4x - 3 and g(x) = 2x^3 + 6.

Solve the algebraic functions f(x) = -4x - 3 and g(x) = 2x^3 + 6 by finding f(6) and g(-4). This problem involves function evaluation and basic algebraic operations. Suitable for students in Grades 9-10.

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