🎓 CLEP Exam Prep

What is the inverse function of f(x) = (3x + 1) / (x - 2)?

A f⁻¹(x) = (x + 2) / (3x - 1)
B f⁻¹(x) = (2x + 1) / (x - 3)
C f⁻¹(x) = (3x - 1) / (x + 2)
D f⁻¹(x) = (2x - 1) / (x + 3)

✓ Correct Answer: Option B

To find the inverse, replace f(x) with y, swap x and y, then solve for y. y=(3x+1)/(x-2) becomes x=(3y+1)/(y-2). Solving for y yields y=(2x+1)/(x-3).

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