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3.1 Introduction to Functional Relations

Function Notation and Identities

  • Many of the properties which have been investigated for the functions introduced in the previous chapters may be expressed using function notation.
  • Below includes a few examples:

\ln x+\ln y=\ln (x y) becomes f(x)+f(y)=f(x y) where f(k)=\ln k

\ln x-\ln y=\ln \left(\frac{x}{y}\right) becomes f(x)-f(y)=f\left(\frac{x}{y}\right) where f(k)=\ln k

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