Insights Blog
-- Browse All Articles --
Physics Articles
Physics Tutorials
Physics Guides
Physics FAQ
Math Articles
Math Tutorials
Math Guides
Math FAQ
Education Articles
Education Guides
Bio/Chem Articles
Technology Guides
Computer Science Tutorials
Forums
General Math
Calculus
Differential Equations
Topology and Analysis
Linear and Abstract Algebra
Differential Geometry
Set Theory, Logic, Probability, Statistics
MATLAB, Maple, Mathematica, LaTeX
Trending
Featured Threads
Log in
Register
What's new
Search
Search
Search titles only
By:
General Math
Calculus
Differential Equations
Topology and Analysis
Linear and Abstract Algebra
Differential Geometry
Set Theory, Logic, Probability, Statistics
MATLAB, Maple, Mathematica, LaTeX
Menu
Log in
Register
Navigation
More options
Contact us
Close Menu
JavaScript is disabled. For a better experience, please enable JavaScript in your browser before proceeding.
You are using an out of date browser. It may not display this or other websites correctly.
You should upgrade or use an
alternative browser
.
Forums
Mathematics
Calculus
Inverse Functions: x=f(y) and X=f^-1(y)
Reply to thread
Message
[QUOTE="DumpmeAdrenaline, post: 6582076, member: 697346"] Consider the case of a real function f for which f inverse exists. 1) We we are not used to having the y-axis (vertical axis) to denote the independent variable which it does in x=f-1(y). We rotate the system through positive 90 degree and reflect about the vertical to change the sense of the axis. One further adjustment to make is to relabel the horizontal axis x and the vertical axis y (the names we give to the axes are immaterial). If we accept the convention that the independent variable must be always plotted along the horizontal axis in the left right sense and the independent variable be called x. Then the first figure on the top left is the appropriate graph of y=f(x) and the bottom figure would be the appropriate graph for y=f^-1(x). Which figures are appropriate for these relations x=f(y) and x=f^-1(y)? I think x=f(y) denotes the relation for the top left figure and x=f^-1(y) for the bottom figure because names to the input and output are irrelevant. [/QUOTE]
Insert quotes…
Post reply
Forums
Mathematics
Calculus
Inverse Functions: x=f(y) and X=f^-1(y)
Back
Top