The problem from the uploaded image states:

Given: $f(x) = \frac{3x - 1}{2} \quad \text{and} \quad g(x) = 4x - 3,$ Evaluate $f(-1)$.

Step-by-Step Solution:

1. Identify $f(x)$: The function $f(x)$ is given as: $f(x) = \frac{3x - 1}{2}.$

2. Substitute $x = -1$ into $f(x)$: $f(-1) = \frac{3(-1) - 1}{2}.$

3. Simplify the numerator: $3(-1) - 1 = -3 - 1 = -4.$

4. Divide by 2: $f(-1) = \frac{-4}{2} = -2.$

Final Answer:

$f(-1) = -2.$

Let me know if you have questions or want more details. Here are five related questions for practice:

1. Evaluate $g(-1)$ using the function $g(x) = 4x - 3$.
2. Solve for $x$ if $f(x) = 0$.
3. Solve for $x$ if $g(x) = 0$.
4. Combine $f(x)$ and $g(x)$ to form $f(g(x))$ and evaluate $f(g(-1))$.
5. Determine if $f(x)$ and $g(x)$ are inverses of each other.

Tip: Always double-check your substitution to avoid calculation errors.