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  • https://math.libretexts.org/Courses/Mission_College/Math_001%3A_College_Algebra_(Kravets)/03%3A_Functions/3.04%3A_Composition_of_Functions
    Combining two relationships into one function, we have performed function composition, which is the focus of this section. Function composition is only one way to combine existing functions. Another w...Combining two relationships into one function, we have performed function composition, which is the focus of this section. Function composition is only one way to combine existing functions. Another way is to carry out the usual algebraic operations on functions, such as addition, subtraction, multiplication and division. We do this by performing the operations with the function outputs, defining the result as the output of our new function.
  • https://math.libretexts.org/Courses/Cosumnes_River_College/Math_372%3A_College_Algebra_for_Calculus_(2e)/01%3A_Functions/1.03%3A_The_Arithmetic_and_Composition_of_Functions
    Combining two relationships into one function, we have performed function composition, which is the focus of this section. Function composition is only one way to combine existing functions. Another w...Combining two relationships into one function, we have performed function composition, which is the focus of this section. Function composition is only one way to combine existing functions. Another way is to carry out the usual algebraic operations on functions, such as addition, subtraction, multiplication and division. We do this by performing the operations with the function outputs, defining the result as the output of our new function.

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