How Do You Solve Inverse Functions in Algebra Problems?

[kramer733]

Having trouble with this question. Usually i'd have to see examples first and rep it out but time ran out of class and i guess we couldn't see them. He gaves us tons of notes though but I'm not really sure if I'm doing it right.

Homework Statement

for g(t) = 3t-2, determine each of the following.

(the -1 is an inverse..)
a. g -1 (-2)
b. g -1(a+1) - g -1(a)

Homework Equations

The Attempt at a Solution

Here's what i did with the g -1(-2)

g(t)=3t-2
t=3g(t)-2
(t-2)/3=g(t)
(-2-2)/3 = -4/3

I have no idea how to do the next one though. Well yea i do but it's probably completely wrong.

 

[Office_Shredder]

For the next one, you're taking the difference of two values such that, when you apply g to them, one gives you a value 1 larger than the other. How much does x have to increase by for g(x) to increase by 1?