Precalculus

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

  1. Compute the inner value g(x) first.
  2. Plug that result into f.
  3. Simplify to get (f ∘ g)(x).

Example

If f(x) = 2x + 1 and g(x) = x², find (f ∘ g)(3).

  1. g(3) = 3² = 9.
  2. f(9) = 2 · 9 + 1 = 19.

Answer: 19

Loading drills…