Algebra › Section J · Exponential and logarithmic functions › Topic J.1
Composite and inverse functions
Functions can be chained into assembly lines, and assembly lines can be run backwards. Composition wires outputs into inputs; the inverse function hits rewind - and only some functions are built with a rewind button at all.
In this topic
- Composition: the assembly line
- Worked example: order matters
- Composition as a model of chains
- One-to-one: the rewind license
- What an inverse does
- Finding an inverse algebraically
- Worked example: a nonlinear inverse
- Worked example: an inverse that answers a question
- Common mistakes to avoid
- Key takeaways
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