For f(x) = sqrt(x - 1), which condition must x satisfy?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $24.99Unlock all

Prepare for the SOAR Academy Test. Utilize flashcards and multiple choice questions to enhance your understanding. Ensure success by reviewing hints and explanations for each question. Get ready to excel!

Multiple Choice

For f(x) = sqrt(x - 1), which condition must x satisfy?

Explanation:
The crucial idea is that a real square root is defined only when the expression inside the root is nonnegative. For f(x) = sqrt(x - 1), the radicand is x - 1, so we need x - 1 ≥ 0, which gives x ≥ 1. That means the function is defined for all x at least 1. Values smaller than 1 make the inside negative, so the square root would not be real. The other options fail because they don’t guarantee nonnegativity of the radicand.

The crucial idea is that a real square root is defined only when the expression inside the root is nonnegative. For f(x) = sqrt(x - 1), the radicand is x - 1, so we need x - 1 ≥ 0, which gives x ≥ 1. That means the function is defined for all x at least 1. Values smaller than 1 make the inside negative, so the square root would not be real. The other options fail because they don’t guarantee nonnegativity of the radicand.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy