If f(x) = 3x - 5, what is the inverse function, f⁻¹(x)?

A f⁻¹(x) = 5 - 3x

B f⁻¹(x) = (x + 5) / 3

C f⁻¹(x) = 3 / (x - 5)

D f⁻¹(x) = (x - 5) / 3

✓ Correct Answer: Option B

To find the inverse, replace f(x) with y, swap x and y, then solve for y. So, x = 3y - 5. Adding 5 gives x + 5 = 3y. Dividing by 3 yields y = (x + 5) / 3.

💡 Why is B) the correct answer?

The correct answer to the question "If f(x) = 3x - 5, what is the inverse function, f⁻¹(x)?" is Option B: f⁻¹(x) = (x + 5) / 3.

The other options — A) f⁻¹(x) = 5 - 3x, C) f⁻¹(x) = 3 / (x - 5), D) f⁻¹(x) = (x - 5) / 3 — are incorrect for this CLEP Exam Prep question. As explained above: To find the inverse, replace f(x) with y, swap x and y, then solve for y. So, x = 3y - 5. Adding 5 gives x + 5 = 3y. Dividing by 3 yields y = (x + 5) / 3.

📚 About This CLEP Exam Prep Practice Question

This 2-level CLEP Exam Prep question from the College Algebra topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free CLEP Exam Prep practice test or use flashcards for spaced repetition review.

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If f(x) = 3x - 5, what is the inverse function, f⁻¹(x)?

✓ Correct Answer: Option B

📚 About This CLEP Exam Prep Practice Question

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