Finding the inverse of two functions

  • Thread starter Tebow15
  • Start date
  • #1
6
0

Homework Statement



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?
 

Answers and Replies

  • #2
jbunniii
Science Advisor
Homework Helper
Insights Author
Gold Member
3,473
255
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.
 
  • #3
SammyS
Staff Emeritus
Science Advisor
Homework Helper
Gold Member
11,398
1,045

Homework Statement



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?
 

Related Threads on Finding the inverse of two functions

Replies
7
Views
1K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
9
Views
1K
Replies
1
Views
3K
Replies
7
Views
2K
Replies
3
Views
4K
Replies
12
Views
5K
  • Last Post
Replies
7
Views
2K
  • Last Post
Replies
6
Views
1K
  • Last Post
Replies
4
Views
2K
Top