Lesson Plan

Evaluate a composite function at an integer input by working inside out, writing the intermediate value explicitly

Write the simplified expression for $f(g(x))$ by substituting $g(x)$ into $f$'s input slot

Demonstrate numerically and symbolically that $f(g(x))$ and $g(f(x))$ are generally different, and state that composition is not commutative

Read the notation $(f \circ g)(x)$ and identify which function acts first

Determine when an input is invalid for a composite because the inner function's output is invalid for the outer function

F 604. Evaluate composite functions at integer values F 708. Write an expression for the composite of two simple functions F 401. Evaluate linear and quadratic functions, expressed in function notation, at integer values A 505. Add, subtract, and multiply polynomials A 513. Determine when an expression is undefined