(2) f(x)=x^2-2 x [ f(x)=x+1 (f circ f)(x)=? ]

Question

Answer 1

Let's correct the approach and find the correct composition of the function \( f(x) = x^2 - 2x \).Given:

We need to find \( (f \circ f)(x) \), which means we need to find \( f(f(x)) \).First, compute \( f(x) \):

Now, substitute \( f(x) \) into itself:

To find \( f(x^2 - 2x) \), we substitute

into the function \( f(x) \):

Now, let's simplify this step by step:1. Compute \( (x^2 - 2x)^2 \):

2. Compute \( -2(x^2 - 2x) \):

3. Combine the results:

So, the composition \( (f \circ f)(x) \) is:

Therefore, the correct answer is:

Soru