Finding the inverse of two functions


by Tebow15
Tags: functions, inverse
Tebow15
Tebow15 is offline
#1
Feb21-12, 07:40 PM
P: 6
1. The problem statement, all variables and given/known data

How do I find the inverse of these functions step by step?

y= e^-x^3

y= sin(1/x)

I know the solutions but I don't know how to work with these two functions. Does anyone know the steps to finding the inverse of these?
Phys.Org News Partner Science news on Phys.org
Internet co-creator Cerf debunks 'myth' that US runs it
Astronomical forensics uncover planetary disks in Hubble archive
Solar-powered two-seat Sunseeker airplane has progress report
jbunniii
jbunniii is online now
#2
Feb21-12, 07:46 PM
Sci Advisor
HW Helper
PF Gold
jbunniii's Avatar
P: 2,933
The goal is to solve for x in terms of y.

What can you do to both sides of y = e^(-x^3) that would be a logical first step?

For the second function, y = sin(1/x), is there a restriction on the domain? As it's written, this function is not invertible because it's many-to-one. For example, there are infinitely many x for which sin(1/x) = 0, namely x = 1/(n*pi) for any nonzero integer n.
SammyS
SammyS is offline
#3
Feb21-12, 07:59 PM
Emeritus
Sci Advisor
HW Helper
PF Gold
P: 7,423
Quote Quote by Tebow15 View Post
1. The problem statement, all variables and given/known data

How do I find the inverse of these functions step by step?

y= e^-x^3

y= sin(1/x)

I know the solutions but I don't know how to work with these two functions. Does anyone know the steps to finding the inverse of these?
How do you find the inverse of any function, in general?


Register to reply

Related Discussions
Finding Complicated Inverse Functions Calculus 5
Inverse and Composite Inverse Functions Precalculus Mathematics Homework 2
Finding Ranges of inverse functions Calculus & Beyond Homework 20
Finding Inverse Functions General Math 5
Having troubles showing A has no inverse or finding the inverse, matrices. Introductory Physics Homework 0