16Hit 1600
Advanced MathVery hardComposition of two functions

Advanced Math practice question

For the functions f(x) = x² and g(x) = x + 3, what is the value of f(g(2))?

Answer: 25

g(2) = 5, then f(5) = 25.

Common wrong answers

If you answered 7
7 is g(2) + 2; compose instead: f(g(2)) = f(5) = 25.
If you answered 10
10 is 2 · 5; f squares its input: 5² = 25.
If you answered 13
13 is f(3) + f(2) = 9 + 4; compose inside-out instead: g(2) = 5, then square it.

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