Homework Help: Algebra inverse

Posted by Shawn on Sunday, November 30, 2008 at 9:39pm.

Find the formula for the inverse of each funtion.
3.) f(x)= 2x-5 for this one I have
y= (x+5)/2 is this correct?

4.) g(x)= (x+5)^3
I am stuck on this one.

Algebra inverse - Reiny, Sunday, November 30, 2008 at 9:45pm
3 is good

4:
let y = (x+5)^2
interchange x with y
x = (y+5)^2
+-sqrt(x) = y+5

y = -5 +-sqrt(x) or f(x) = -5 +-sqrt(x)
Algebra inverse question - Shawn, Sunday, November 30, 2008 at 9:51pm
Hi Reiny,
I just have one question for 4.) the problem is g(x)= (x+5)^3

how were you able to convert the equation to the following?
let y = (x+5)^2
interchange x with y
x = (y+5)^2
- Algebra inverse question - Reiny, Monday, December 1, 2008 at 12:34am
  my error, did not read the question carefully enough, thought it was squared instead of cubed.
  
  so just change the sqrt to cube root and use only the positive sign.
  
  so last line should be
  y = -5 +-cuberoot(x)

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