Question

the movement of the progress bar may be uneven because questions can be worth more given $f(x) = 3x - 5$, find $f(x - 2)$. \\(\bigcirc\\) $f(x - 2) = 3x^2 - 11x + 10$ \\(\bigcirc\\) $f(x - 2) = 3x - 11$ \\(\bigcirc\\) $f(x - 2) = 3x - 7$ \\(\bigcirc\\) $f(x - 2) = x - 7$

Explanation:

Step1: Substitute \(x - 2\) into \(f(x)\)

We know that \(f(x)=3x - 5\), so to find \(f(x - 2)\), we replace every \(x\) in \(f(x)\) with \(x - 2\). So we get \(f(x - 2)=3(x - 2)-5\).

Step2: Simplify the expression

First, distribute the 3 in \(3(x - 2)\): \(3(x - 2)=3x-6\). Then subtract 5: \(3x - 6-5\). Combine like terms: \(3x-(6 + 5)=3x-11\).

Answer:

\(f(x - 2)=3x - 11\) (corresponding to the option \(f(x - 2)=3x - 11\))