SOLUTION: It says find an equation of the inverse relation. So those equation for y, if possible, and state whether or not the inverse relation is a function. The problem is g(x)=1/2x-1.

Algebra ->  Inverses -> SOLUTION: It says find an equation of the inverse relation. So those equation for y, if possible, and state whether or not the inverse relation is a function. The problem is g(x)=1/2x-1.      Log On


   

Question 119516: It says find an equation of the inverse relation. So those equation for y, if possible, and state whether or not the inverse relation is a function.
The problem is g(x)=1/2x-1.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
g%28x%29=1%2F%282x-1%29
To find an inverse function, switch y and x in the expression and solve for y.
y=1%2F%282x-1%29
highlight%28x%29=1%2F%282highlight%28y%29-1%29
x%282y-1%29=1
2y-1=1%2Fx
2y=1%2Fx%2B1
2y=1%2Fx%2Bx%2Fx
2y=%281%2Bx%29%2Fx
y=%281%2Bx%29%2F2x
Yes, it is a function. There is only one y value for each x value.