Verified Answer :

smmwaite

Answer

d) 2 – i


Explanation

f(x) = x³ – 2x²

When x = i, we proceed as follows.

Note: i =

          i² =(√-1)(√-1) =  -1

          i³ = (√-1)(√-1)(√-1) = -1(√-1) = -1i = -i

f(x) = x³ – 2x²

f(i) = i³ – 2i²

     = -i – 2(-1)

     = -i + 2

      = 2 – i


SociometricStar

Answer:

f(i)=2-i

d is the correct option.

Step-by-step explanation:

The given function is \(f(x)=x^3-2x^2\)

Substitute x = i, to find f(i)

\(f(i)=i^3-2(i)^2\)

We can rewrite this as

\(f(i)=i^2\cdot i-2(i)^2\)

Now, we know that \(i^2=-1\). Thus, we have

\(f(i)=(-1)\cdot i-2(-1)\)

On simplifying, we get

\(f(i)=-i+2\\\\f(i)=2-i\)

d is the correct option.

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