The problem provides a function $f(x) = 3x - 3$. Part a asks us to evaluate $f(-3)$. Part b asks us to solve the equation $f(x) = -6$ for $x$.

1. Problem Description

The problem provides a function $f(x) = 3x - 3$.

Part a asks us to evaluate $f(-3)$.

Part b asks us to solve the equation $f(x) = -6$ for $x$.

2. Solution Steps

a) To evaluate $f(-3)$, we substitute $x = -3$ into the function:

$f(-3) = 3(-3) - 3$

$f(-3) = -9 - 3$

$f(-3) = -12$

b) To solve $f(x) = -6$, we substitute the function definition:

$3x - 3 = -6$

Add 3 to both sides:

$3x = -6 + 3$

$3x = -3$

Divide both sides by 3:

$x = \frac{-3}{3}$

$x = -1$

3. Final Answer

a) $f(-3) = -12$

b) $x = -1$