Find the inverse function f⁻¹(x) for f(x) = (x + 4) / 5.

A f⁻¹(x) = 5x - 4

B f⁻¹(x) = (x - 4) / 5

C f⁻¹(x) = 5x + 4

D f⁻¹(x) = (5 / (x + 4))

✓ Correct Answer: Option A

Replace f(x) with y: y = (x + 4) / 5. Swap x and y: x = (y + 4) / 5. Multiply by 5: 5x = y + 4. Subtract 4: y = 5x - 4. So, f⁻¹(x) = 5x - 4.

💡 Why is A) the correct answer?

The correct answer to the question "Find the inverse function f⁻¹(x) for f(x) = (x + 4) / 5." is Option A: f⁻¹(x) = 5x - 4.

The other options — B) f⁻¹(x) = (x - 4) / 5, C) f⁻¹(x) = 5x + 4, D) f⁻¹(x) = (5 / (x + 4)) — are incorrect for this CLEP Exam Prep question. As explained above: Replace f(x) with y: y = (x + 4) / 5. Swap x and y: x = (y + 4) / 5. Multiply by 5: 5x = y + 4. Subtract 4: y = 5x - 4. So, f⁻¹(x) = 5x - 4.

📚 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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Find the inverse function f⁻¹(x) for f(x) = (x + 4) / 5.

✓ Correct Answer: Option A

📚 About This CLEP Exam Prep Practice Question

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