Transformation of functions

problem

Agile Algebra

Age

16 to 18

Challenge level

Observe symmetries and engage the power of substitution to solve complicated equations.
problem

Operating Machines

Age

16 to 18

Challenge level

What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?
article
The Why and How of Substitution

Step back and reflect! This article reviews techniques such as substitution and change of coordinates which enable us to exploit underlying structures to crack problems.