Question

f(x) = 2x - 1. find the value of x when f(x) = 3. options: 2, 5, 4, 1

Explanation:

Step1: Set up the equation

Given \( f(x) = 2x - 1 \) and \( f(x)=3 \), we set \( 2x - 1 = 3 \).

Step2: Solve for x

Add 1 to both sides: \( 2x - 1 + 1 = 3 + 1 \), which simplifies to \( 2x = 4 \). Then divide both sides by 2: \( x=\frac{4}{2}=2 \). Wait, but the option with 2 is marked? Wait, maybe I misread. Wait, let's check again. Wait, maybe the function is \( f(x)=2x + 1 \)? Wait, the original image shows \( f(x)=2x - 1 \)? Wait, no, maybe the user's image has a typo. Wait, if \( f(x)=2x + 1 \) and \( f(x)=3 \), then \( 2x+1=3 \), \( 2x=2 \), \( x=1 \)? No, that's not. Wait, maybe the function is \( f(x)=2x - 1 \), and we solve \( 2x - 1 = 3 \), so \( 2x=4 \), \( x=2 \). So the correct x is 2. So the option with 2 (the first option) is correct.

Answer:

2 (corresponding to the first option, e.g., A. 2 if the options are labeled A, B, etc. as per the image's options)