How to solve
Composition feeds one function’s output into another: (f ∘ g)(x) = f(g(x)). Always evaluate the inner function first so the outer function receives a concrete input.
Steps
- Compute the inner value g(x) first.
- Plug that result into f.
- Simplify to get (f ∘ g)(x).
Example
If f(x) = 2x + 1 and g(x) = x², find (f ∘ g)(3).
- g(3) = 3² = 9.
- f(9) = 2 · 9 + 1 = 19.
Answer: 19
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