The question states:

If $f(x-2) = 3x - 5$ for all values of $x$, which of the following is the expression for $f(x)$?

Step 1: Rewrite the equation for $f(x)$

The goal is to express $f(x)$. The given function is $f(x-2) = 3x - 5$. Substitute $x$ with $t + 2$, so $x - 2 = t$, making $x = t + 2$.

Substitute $x = t + 2$ into the given function: $f(t) = 3(t + 2) - 5.$

Step 2: Simplify the expression

Simplify $f(t)$: $f(t) = 3t + 6 - 5,$ \