[ARCHIVED THREAD] - Inverse of Functions Help...

Posted: 11/7/2011 8:27:10 AM EDT

Hey guys I have a couple questions. I don't quite understand inverse of functions.

EX:

1. Determine if the function is one-to-one and if it is, determine its inverse.

f(x) = 3x/x+5

2. Find the inverse of : f(x) = -x^3+2

If someone could help me with these two problems and explain that would be great! Thanks!

Posted: 11/7/2011 10:53:24 AM EDT

[#1]

Inverse functions take the output of one function and run it backwards to give you the original input.

so if f(5) = 3, the input is 5 and the function gives out a value of 3

the inverse function to f would take 3 as an input value and give an output of 5.

Posted: 11/7/2011 10:55:03 AM EDT

[#2]

to find inverse fucntions:

1. replace f(x) with y

2. interchange all x's with y's and all y's with x's.

3. solve for y.

Posted: 11/7/2011 10:56:44 AM EDT

[#3]

Add some parentheses in that first equation.

Posted: 11/7/2011 10:56:52 AM EDT

[#4]

Greek (Ελληνικά IPA: [eliniˈka] or Ελληνική γλώσσα, IPA: [eliniˈci ˈɣlosa])

Posted: 11/7/2011 11:13:43 AM EDT

[#5]

1) Inverse: y = (5x)/(3-x)

2) Inverse: y = (2-x)^(1/3)

Posted: 11/7/2011 11:30:50 AM EDT

[#6]

Quoted:
to find inverse fucntions:

1. replace f(x) with y
2. interchange all x's with y's and all y's with x's.
3. solve for y.

Thanks!

Posted: 11/7/2011 11:31:04 AM EDT

[#7]

Quoted:
1) Inverse: y = (5x)/(3-x)

2) Inverse: y = (2-x)^(1/3)

Alright thank you.

Posted: 11/7/2011 3:25:17 PM EDT

[#8]

I got beat to it...

[ARCHIVED THREAD] - Inverse of Functions Help...

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[ARCHIVED THREAD] - Inverse of Functions Help...

[ARCHIVED THREAD] - Inverse of Functions Help...