SOLUTION: Find the inverse of this function and list each step. f(x)=sqrt(2x-6)

Algebra ->  Rational-functions -> SOLUTION: Find the inverse of this function and list each step. f(x)=sqrt(2x-6)      Log On


   



Question 1052323: Find the inverse of this function and list each step.
f(x)=sqrt(2x-6)

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=sqrt(2x-6)
0r
y = sqrt(2x-6)
finding the inverse is as simple as "flip-flopping" the x and y, so to speak.
x = sqrt(2y-6)
Squaring both sides...
x^2 = 2y - 6
x^2/2 + 3 = y