SOLUTION: If f(x)=3x-2 and gf(x)=6x-1,find the value of g-1(3)

Algebra ->  Rational-functions -> SOLUTION: If f(x)=3x-2 and gf(x)=6x-1,find the value of g-1(3)      Log On


   

Question 1204557: If f(x)=3x-2 and gf(x)=6x-1,find the value of g-1(3)
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


g%28f%28x%29%29=6x-1=2%283x-2%29%2B3=+2%28f%28x%29%29%2B3

So g%28x%29=2x%2B3

Then to find g^(-1)(3)....

2x%2B3=3
2x=0
x=0

ANSWER: 0

CHECK:

f(0)=3(0)-2=-2
g(-2)=2(-2)+3=-1

g(f(x))=6x-1=6(0)-1=-1