Composition of functions is one of the most powerful tools in algebra: it lets you create a new function by feeding the output of one function directly into a second function. Written as (f ∘ g)(x) or f(g(x)), function composition appears throughout Algebra 1 and is the foundation for understanding inverse functions and transformations. With […]
Once you are comfortable adding and subtracting functions, the next step is multiplying and dividing functions. Multiplying and dividing functions combines two function rules using multiplication or division, producing a new function whose output at any input is the product or quotient of the two original outputs. These operations show up frequently in Algebra 1 […]
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