The problem asks you to evaluate $g(3x - 3)$, given the function $g(x) = 2 - 5x$.

Step-by-step solution:

1. Start with the function definition: $g(x) = 2 - 5x$

2. Substitute $3x - 3$ for $x$ in the function: $g(3x - 3) = 2 - 5(3x - 3)$

3. Distribute the -5: $g(3x - 3) = 2 - (15x - 15)$ $g(3x - 3) = 2 - 15x + 15$

4. Simplify the expression: $g(3x - 3) = 17 - 15x$

So, $g(3x - 3) = 17 - 15x$, which matches the option $-15x + 17$.

Answer:

The correct option is: $\boxed{-15x + 17}$

Let me know if you need further details or have any questions!

Related questions:

1. How do you find the derivative of $g(x) = 2 - 5x$?
2. What is the inverse of the function $g(x) = 2 - 5x$?
3. How would you find $g^{-1}(x)$ for a similar linear function?
4. What happens if you apply transformations to $g(x) = 2 - 5x$?
5. How do you solve $g(x) = 0$ for $g(x) = 2 - 5x$?

Tip:

Always simplify the expression after substituting into the function to avoid errors.