Question

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

Answer 1

The equivalent value is
`√(2)`

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|= √(a^2+b^2)`

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

`|f(i)|=|1-i| =√((1)^2+(-1)^2)= √(1+1)=√(2)`

So, the value equivalent to
`|f(i)|` is
`√(2)`