Topics:

  • function operations:
    $f+g, \quad f-g, \quad fg, \quad f/g$
  • function composition:
    $(f \circ g)(x) = f\left(g(x)\right)$
  • inverse functions
    • finding inverse functions
    • 1-1 functions / horizontal line test
  • function transformations

Reference: Stitz-Zeager Precalculus

  • SZ 1.5 Function Arithmetic
  • SZ 1.7 Transformations
  • SZ 5.1 Function Composition
  • SZ 5.2 Inverse Functions

notes (pdf)