Question 931937
I'm going to assume the original function is *[Tex \Large f(x)= \frac{8x-1}{5}]



The idea is to replace f(x) with y, swap x and y, and then solve for y like so...



*[Tex \Large f(x)= \frac{8x-1}{5}]



*[Tex \Large y = \frac{8x-1}{5}]



*[Tex \Large x = \frac{8y-1}{5}]



*[Tex \Large 5x = 8y-1]



*[Tex \Large 5x+1 = 8y]



*[Tex \Large 8y = 5x+1]



*[Tex \Large y = \frac{5x+1}{8}]



So the inverse function is *[Tex \Large f^{-1}(x) = \frac{5x+1}{8}]
------------------------------------------------------------------------------------------------------------------------


If you need more one-on-one help, email me at <a href="mailto:jim_thompson5910@hotmail.com?Subject=I%20Need%20Algebra%20Help">jim_thompson5910@hotmail.com</a>. You can ask me a few more questions for free, but afterwards, I would charge you ($2 a problem to have steps shown or $1 a problem for answer only).


Alternatively, please consider visiting my website: <a href="http://www.freewebs.com/jimthompson5910/home.html">http://www.freewebs.com/jimthompson5910/home.html</a> and making a donation. Any amount is greatly appreciated as it helps me a lot. This donation is to support free tutoring. Thank you.


Jim

------------------------------------------------------------------------------------------------------------------------