We are given the function $f(x) = -3x + 5$ and asked to find $f(-2)$.

To solve this, substitute $x = -2$ into the function:

$f(-2) = -3(-2) + 5$

First, calculate $-3(-2)$:

$-3(-2) = 6$

Now, add 5:

$f(-2) = 6 + 5 = 11$

Thus, $f(-2) = 11$.

Would you like further explanation or have any other questions?

Here are 5 related questions to explore:

1. How do you find the value of $f(x)$ for any given $x$?
2. What is the slope of the function $f(x) = -3x + 5$?
3. How do you interpret the y-intercept of the function $f(x) = -3x + 5$?
4. Can you determine the zeros of the function $f(x) = -3x + 5$?
5. How does changing the constant term in $f(x)$ affect the graph?

Tip: Always substitute values carefully into functions and follow the order of operations to avoid mistakes.