If F is the function defined by F(x) = 3x - 1, find the solution set for F(x) = 2. A. {1} B. {\frac{1}{3}} C. {5} D. {8}

To solve for F ( x ) = 2 when F ( x ) = 3 x − 1 , we need to find the value of x that makes the equation true. Here’s how we can do it step-by-step:

Write down the given function equation :
F ( x ) = 3 x − 1

Set the equation equal to 2 :
3 x − 1 = 2

Solve for x by isolating it :
a. Add 1 to both sides to eliminate the − 1 on the left side:


3 x − 1 + 1 = 2 + 1 3 x = 3
b. Divide both sides by 3 to solve for [tex]x[/tex]:

x = 3 3 ​ x = 1

Conclusion : The solution set for F ( x ) = 2 is { 1 } .

Therefore, the correct multiple-choice answer is option A: { 1 } .

Answered by ElijahBenjaminCarter | 2025-07-21