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We're learning about different kinds of functions and I don't really understand the difference between rational and algebraic functions. I know that rational functions are functions that are a ratio of two polynomials, and algebraic functions are any functions that can be made with multiplication, division, addition, subtraction, taking the root of, etc. polynomials. All rational functions are algebraic, but not the other way around, correct? So does that mean that the function x-6/x+6 is both algebraic and rational?

  • Calculus -

    Yes, and yes.

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