Question

if \\(f(x) = 1 - x\\), which value is equivalent to \\(|f(i)|\\)?

• 0
• 1
• \\(\sqrt{2}\\)
• \\(\sqrt{-1}\\)

Explanation:

Evaluate the function at the imaginary unit

$$ f(i) = 1 - i $$

Calculate the modulus of the complex number

$$ |f(i)| = |1 - i| = \sqrt{1^2 + (-1)^2} = \sqrt{1 + 1} = \sqrt{2} $$

Answer:

• 0
• 1
• \(\sqrt{2}\) (Correct answer)
• \(\sqrt{-1}\)