Given f(x) = 2x - 1 and g(x) = x^2 + 3, what is (g o f)(x)?

A 2x^2 + 5

B 4x^2 - 4x + 4

C 4x^2 - 1

D 2x^2 + 2

✓ Correct Answer: Option B

(g o f)(x) means g(f(x)). Substitute f(x) into g(x): g(2x - 1) = (2x - 1)^2 + 3 = (4x^2 - 4x + 1) + 3 = 4x^2 - 4x + 4.

💡 Why is B) the correct answer?

The correct answer to the question "Given f(x) = 2x - 1 and g(x) = x^2 + 3, what is (g o f)(x)?" is Option B: 4x^2 - 4x + 4.

The other options — A) 2x^2 + 5, C) 4x^2 - 1, D) 2x^2 + 2 — are incorrect for this CLEP Exam Prep question. As explained above: (g o f)(x) means g(f(x)). Substitute f(x) into g(x): g(2x - 1) = (2x - 1)^2 + 3 = (4x^2 - 4x + 1) + 3 = 4x^2 - 4x + 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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Given f(x) = 2x - 1 and g(x) = x^2 + 3, what is (g o f)(x)?

✓ Correct Answer: Option B

📚 About This CLEP Exam Prep Practice Question

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