Search
- https://math.libretexts.org/Courses/Borough_of_Manhattan_Community_College/MAT_206.5/04%3A_Polynomial_and_Rational_Functions/4.09%3A_Inverses_and_Radical_FunctionsIn this section, we will explore the inverses of polynomial and rational functions and in particular the radical functions we encounter in the process.
- https://math.libretexts.org/Courses/Chabot_College/Chabot_College_College_Algebra_for_BSTEM/03%3A_Functions/3.07%3A_Inverse_FunctionsIf some physical machines can run in two directions, we might ask whether some of the function “machines” we have been studying can also run backwards. In this section, we will consider the reverse na...If some physical machines can run in two directions, we might ask whether some of the function “machines” we have been studying can also run backwards. In this section, we will consider the reverse nature of functions.
- https://math.libretexts.org/Courses/Highline_College/Math_141%3A_Precalculus_I_(old_edition)/02%3A_Inequalities_and_Functions/2.08%3A_Inverse_FunctionsIf some physical machines can run in two directions, we might ask whether some of the function “machines” we have been studying can also run backwards. In this section, we will consider the reverse na...If some physical machines can run in two directions, we might ask whether some of the function “machines” we have been studying can also run backwards. In this section, we will consider the reverse nature of functions.
- 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_test2_03%3A_Polynomial_and_Rational_Functions_3.8%3A_Inverses_and_Radical_FunctionsIn this section, we will explore the inverses of polynomial and rational functions and in particular the radical functions we encounter in the process.
- https://math.libretexts.org/Courses/Prince_Georges_Community_College/MAT_1350%3A_Precalculus_Part_I/03%3A_Functions/3.07%3A_Inverse_FunctionsIf some physical machines can run in two directions, we might ask whether some of the function “machines” we have been studying can also run backwards. In this section, we will consider the reverse na...If some physical machines can run in two directions, we might ask whether some of the function “machines” we have been studying can also run backwards. In this section, we will consider the reverse nature of functions.
- https://math.libretexts.org/Courses/Coastline_College/Math_C120%3A_Trigonometry_(Tran)/02%3A_Periodic_Functions/2.04%3A_Inverse_Trigonometric_FunctionsIn this section, we will explore the inverse trigonometric functions. Inverse trigonometric functions “undoes” what the original trigonometric function “does,” as is the case with any other function a...In this section, we will explore the inverse trigonometric functions. Inverse trigonometric functions “undoes” what the original trigonometric function “does,” as is the case with any other function and its inverse. In other words, the domain of the inverse function is the range of the original function, and vice versa.
- https://math.libretexts.org/Courses/Mission_College/Math_3A%3A_Calculus_1_(Sklar)/01%3A_Functions_and_Graphs/1.04%3A_Inverse_FunctionsAn inverse function reverses the operation done by a particular function. Whatever a function does, the inverse function undoes it. In this section, we define an inverse function formally and state th...An inverse function reverses the operation done by a particular function. Whatever a function does, the inverse function undoes it. In this section, we define an inverse function formally and state the necessary conditions for an inverse function to exist. We examine how to find an inverse function and study the relationship between the graph of a function and the graph of its inverse. Then we apply these ideas to define and discuss properties of the inverse trigonometric functions.
- https://math.libretexts.org/Workbench/Book-_Precalculus_I_for_Highline_College_w/Rational_Inequalities_and_Equations_of_Circles/1.01%3A_Functions/1.1.08%3A_Inverse_FunctionsIf some physical machines can run in two directions, we might ask whether some of the function “machines” we have been studying can also run backwards. In this section, we will consider the reverse na...If some physical machines can run in two directions, we might ask whether some of the function “machines” we have been studying can also run backwards. In this section, we will consider the reverse nature of functions.
- https://math.libretexts.org/Courses/Quinebaug_Valley_Community_College/MAT186%3A_Pre-calculus_-_Walsh/06%3A_Periodic_Functions/6.03%3A_Inverse_Trigonometric_FunctionsIn this section, we will explore the inverse trigonometric functions. Inverse trigonometric functions “undoes” what the original trigonometric function “does,” as is the case with any other function a...In this section, we will explore the inverse trigonometric functions. Inverse trigonometric functions “undoes” what the original trigonometric function “does,” as is the case with any other function and its inverse. In other words, the domain of the inverse function is the range of the original function, and vice versa.
- https://math.libretexts.org/Bookshelves/Algebra/Supplemental_Modules_(Algebra)/Elementary_algebra/1%3A_Functions/1.4%3A_Composition_and_InversesSociologists in Holland determine that the number of people \(y\) waiting in a water ride at an amusement park is given by \[y(C(F)) = \left(\dfrac{1}{50}\right)\left[\dfrac{5}{9}F + \dfrac{160}{9}\ri...Sociologists in Holland determine that the number of people \(y\) waiting in a water ride at an amusement park is given by \[y(C(F)) = \left(\dfrac{1}{50}\right)\left[\dfrac{5}{9}F + \dfrac{160}{9}\right]^2 + \left[\dfrac{5}{9}F + \dfrac{160}{9}\right] + 2 \nonumber \] \[\begin{align} x &= 3y^3 - 5 \\ x + 5 &= 3y^3 \\ \dfrac{(x + 5)}{3} &= y^3 ,\\ \left[\dfrac{(x + 5)}{3}\right]^{\frac{1}{3}}&=y \end{align}\] To graph an inverse we draw the \(y = x\) line and reflect the graph across this line.
- https://math.libretexts.org/Courses/Monroe_Community_College/MTH_210_Calculus_I_(Seeburger)/01%3A_Functions_and_Graphs/1.04%3A_Inverse_FunctionsAn inverse function reverses the operation done by a particular function. Whatever a function does, the inverse function undoes it. In this section, we define an inverse function formally and state th...An inverse function reverses the operation done by a particular function. Whatever a function does, the inverse function undoes it. In this section, we define an inverse function formally and state the necessary conditions for an inverse function to exist. We examine how to find an inverse function and study the relationship between the graph of a function and the graph of its inverse. Then we apply these ideas to define and discuss properties of the inverse trigonometric functions.
