Let's analyze and solve the given problem.

Problem Statement:

We have two functions defined as:

$f(x) = -2x - 1$

$g(x) = 3x^2 - 3x$

We are asked to find:

1. $f(5)$
2. $g(-4)$

Let's calculate each of these step-by-step.

Solution:

1. Finding $f(5)$: $f(5) = -2(5) - 1 = -10 - 1 = -11$

2. Finding $g(-4)$: $g(-4) = 3(-4)^2 - 3(-4)$ Calculating step-by-step: $= 3(16) - 3(-4) = 48 + 12 = 60$

Final Answers:

• $f(5) = -11$
• $g(-4) = 60$

Would you like a detailed breakdown of any of these calculations? Here are some related questions to consider:

1. How do you find the value of a function for a specific input?
2. How do the coefficients in a linear function affect its output?
3. What is the difference between linear and quadratic functions?
4. How do you simplify expressions with negative inputs?
5. Can you graph these functions to see their behavior visually?

Tip: When substituting values into functions, always handle negative signs and exponents carefully to avoid mistakes!