Question

If f(x) = 1 – x, which value is equivalent to |f(i)|?
a.0
b.√2
c.√-1

Answer 1

The value equivalent to |f(i)| is √2.

Step-by-step explanation:

To find the value of |f(i)|, we substitute i into the function f(x) = 1 - x. Since i is an imaginary number, we can rewrite it as f(i) = 1 - i. Taking the absolute value of f(i) means we disregard the negative sign, so |f(i)| = |1 - i|. Applying the absolute value to complex numbers works by finding the magnitude of the complex number, which is calculated by taking the square root of the sum of the squares of its real and imaginary parts. In this case, |1 - i| = √(1^2 + (-1)^2) = √2.