Question

Its an edge question

If f(x) = 1 – x, which value is equivalent to |f(i)|?
0
1
square root of 2
square root of -1

Answer 1

a) The value of If(i)I = √2.

Explanation:

Here the given function is f(x) = 1 - x

To Find: If(i)I

First;y, let us find the value of f(i).

Substituting x = i in f(x) , we get:

f(i) = 1- i

Now, The modulus value of a function P = A + B is written as :

`IPI = IA+BI = √(A^2 + B^2)`

So, here calculating the value of If(i)I :

`I1-iI = √((1)^2 + (-1)^2) = √(1+ (1)) = \sqrt {1+1} = √(2)\\\implies I1-iI = √(2)`

⇒ I1-1I = √2

or, If(i)I =√2

Hence, the value of If(i)I for f(x) = 1 -x is√2.