Question

If f(x) = 1 – x, which value is equivalent to |f(i)|?

Answer 1

Answer:

The equivalent value is  $\sqrt{2}$

Step-by-step explanation:

Given function is:   $f(x)= 1-x$

For finding $f(i)$, first we will replace $x$ as $i$ in the given function. So.....

$f(i)= 1-i$

Now, if we compare this $(1-i)$ with the complex form $(a+bi)$ , then we will get:  $a=1$ and $b=-1$

Formula we need to use here:  $|a+bi|= \sqrt{a^2+b^2}$

According to the above formula.......

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

So, the value equivalent to $|f(i)|$ is  $\sqrt{2}$