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
General Math
Can an inverse function of a special cubic function be found?
Reply to thread
Message
[QUOTE="fresh_42, post: 6827762, member: 572553"] No. they do not. E.g., ##f(x)=x^2-16## cannot have an inverse since two values in the domain map to one value in the rage: ##f(4)=f(-4)=0.## What would ##f^{-1}(0)## be? A parabola isn't injective, ergo not bijective, ergo no inverse. Even if you meant the reciprocal ##1/f(x)## we get into trouble as soon as there are zeros of ##f(x)## as in my example. ... in which case we cannot call it inverse ... You make it artificially injective. That is a different function then! [/QUOTE]
Insert quotes…
Post reply
Forums
Mathematics
General Math
Can an inverse function of a special cubic function be found?
Back
Top