Im trying to find the inverse of the function with working, see attached image

Printable View

- Nov 28th 2009, 05:08 AMhunterage2000inverse of a function
Im trying to find the inverse of the function with working, see attached image

- Nov 28th 2009, 05:17 AMBacterius

Say

Thus :

Expand :

Rearrange terms :

Factorize :

Make x the subject by dividing :

Thus the inverse function of is

Does it make sense ? - Nov 28th 2009, 05:27 AMhunterage2000
Cheers Ray that is spot on (Rock)

- Nov 28th 2009, 05:29 AMRaoh
put ,flip and , and solve for .

= = =

and hence the inverse is - Nov 28th 2009, 05:30 AMBacterius
By the way, this trick can help you find answers easily so as to be able to solve this type of questions quicker : can you spot some kind of relation between the numbers in the function and the numbers in the inverse function ? (Nod)

EDIT : woah Raoh now this is "compressed" maths, now I realize how much of a waste of paper my writing style would be in an exam (Doh). I detailed carefully each step because Hunterage asked for it though (Sweating). - Nov 28th 2009, 07:33 AMe^(i*pi)