We say that **the cube root function is the inverse of the cube function**. The square function is not uniquely invertible, so it has no inverse function.

Contents

- How do you find the inverse of a cubic function?
- Is the inverse of a cubic root?
- Are Cubic and cube root inverses?
- What are the inverses of the quadratic and cubic functions?
- Does every polynomial have an inverse?
- What is the inverse of the cube root parent function?
- What is the opposite of a cubed number?
- Is a cubic function a one to one function?
- Do linear functions have inverses?

While it is not possible to find an inverse of most polynomial functions, **some basic polynomials have inverses**. Such functions are called invertible functions, and we use the notation f−1(x).

Finding the **square root** of a number is the opposite of cubing a number.

This is the parent function of the cubic family of functions. Each x-value has a unique y-value that is not used by any other x-element. Since this is the definition of a one-to-one function, **this function is one-to-one**.

**The inverse of a linear function** is much easier to find compared to other types of functions like quadratic and rational functions. This is because the domain and range of a linear function naturally includes all real numbers unless the domain is restricted.

- https://www.youtube.com/watch?v=zE8oFm5rA1Q
- https://www.youtube.com/watch?v=tXyZsQp2YJg
- https://www.youtube.com/watch?v=uTYiDTM6Wek
- https://www.youtube.com/watch?v=uu8ZbcmCrIg
- https://math.libretexts.org/Courses/Truckee_Meadows_Community_College/TMCC%3A_Precalculus_I_and_II/Under_Construction_test2_03%3A_Polynomial_and_Rational_Functions/Under_Construction%2F%2Ftest2%2F%2F03%3A_Polynomial_and_Rational_Functions%2F%2F3.8%3A_Inverses_and_Radical_Functions
- https://www.youtube.com/watch?v=xxMDkKJXjW8
- https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-roots/a/cube-roots-review
- https://www.ck12.org/book/ck-12-math-analysis-concepts/section/3.2/
- https://www.chilimath.com/lessons/advanced-algebra/inverse-of-linear-function/

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