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6 votes
6 votes
F(x)=x² +1
What is f(f(x))?

User Volkmar Rigo
by
2.5k points

1 Answer

19 votes
19 votes

Explanation:

Plug


{x}^(2) + 1

for x.


( {x}^(2) + 1) {}^(2) + 1

Note that


(a + b) {}^(2) = 2ab

So we have


{x}^(4) + 2 {x}^(2) + 2

User Zanzu
by
2.9k points