Question

Найдите f(f(x)) если f(x)=3-x

Answer 1

F(x)=3-x
f(f(x))=3-(3-x)=3-3+x=x

f(f(x))=x

Answer 2

To find $f(f(x))$, you need to apply the function $f(x)$ twice. Let's start by calculating $f(f(x))$ step by step:

1. First, substitute $f(x)$ into $f(f(x))$: $f(f(x)) = f(3-x)$

2. Now, apply the function $f(x)$ again to $3-x$: $f(f(x)) = 3 - (3 - x)$

3. Simplify the expression: $f(f(x)) = x$

Therefore, $f(f(x)) = x$ for the given function $f(x) = 3 - x$.