A problematic math problem

[blue spartan 11]

Anyone here is good enough in math to help me finding the reciproque(spelling?) of a formula?

g(t)=3t+3^t

I've been searching for an hour trying to find the g-1(-1 is an exposant(spelling?)). I'm pretty much out of ressource right now. Anyone knows how to start.

P.S. I have access to a TI Voyage 200.

 

[laststandman]

g^-1(t)=1/3(t)+³√t

that'd be the inverse (i think)
that help?

 

[blue spartan 11]

Not really. I think I'll rephrase part of my question: Anyone knows a way to create the inverse of a function on a TI Voyage 200?

 

[T3hMonk3y]

Well i would think you would start by doing this

if g(t)=3t+3^t
then 3t+3^t-gt = 0

so then t(3+3t^2-g)=0
so i think the inverse is 1 divded by t(3+3t^2-g) of course that could be all wrong been ages since i've done anything like this

 

[Wyes]

g(t) = 3t + 3^t

For the purposes of this, g(t) = v

v = 3t + 3^t

t = 3v + 3^v

From here, solve for v (which unfortunately gets really nasty, if there's a better way to do it I don't know it)

http://www.wolframalpha.com/input/?i=Find+inverse+of+3t+%2B+3^t