Inverse function of f^-1

  • Thread starter fazal
  • Start date
  • #1
24
0

Homework Statement



a)The function f is defined by y=f(x) = 3ln 4x 0.01<=x<=1
solve for x in terms of y and hence find the formula for the inverse function of f^-1

b)Write the domain of f^-1

plse help check my answers below...


Homework Equations


as above


The Attempt at a Solution



solve for x in terms of y
My Ans :x= 1/4*e^(y/3)
and hence find the formula for the inverse function of f^-1
my answer is: f^-1(x)=1/4e^(x/3)

answer to b) plse assist
 

Answers and Replies

  • #2
gabbagabbahey
Homework Helper
Gold Member
5,002
7


wikipedia said:
wiki

Let [itex]f[/itex] be a function whose domain is the set [itex]X[/itex], and whose range is the set [itex]Y[/itex]. Then, if it exists, the inverse of [itex]f[/itex] is the function [itex]f^{-1}[/itex] with domain [itex]Y[/itex] and range [itex]X[/itex], defined by the following rule:

[tex]\text{If }f(x) = y\text{, then }f^{-1}(y) = x\text{.}[/tex]

Does this help?:wink:

P.S. Please don't post double threads. Someone was already helping you with this problem in the other thread. If you didn't understand their attempt at helping you, you should have just said so instead of posting the same question in anew thread.
 
  • #3
24
0


iam sorry new to the forum.....
 
  • #4
24
0


is the answer for part b) -9.656<=x<=4.159 ??
 
  • #5
gabbagabbahey
Homework Helper
Gold Member
5,002
7


is the answer for part b) -9.656<=x<=4.159 ??

Looks good to me :smile:
 

Related Threads on Inverse function of f^-1

Replies
5
Views
2K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
12
Views
2K
  • Last Post
Replies
7
Views
789
  • Last Post
Replies
15
Views
2K
  • Last Post
Replies
6
Views
36K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
2
Views
812
  • Last Post
Replies
6
Views
577
Top