SOLUTION: Find the inverse of the one-to-one function. f(x)= 4/x-7 f^-1(x)= ___________ ______

Algebra ->  Coordinate-system -> SOLUTION: Find the inverse of the one-to-one function. f(x)= 4/x-7 f^-1(x)= ___________ ______      Log On


   

Question 388506: Find the inverse of the one-to-one function.
f(x)= 4/x-7
f^-1(x)= __________________
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y=4%2F%28x-7%29
Interchange x and y and solve for y.
x=4%2F%28y-7%29
x%28y-7%29=4
xy-7x=4
xy=7x%2B4
y=%287x%2B4%29%2Fx
highlight%28f%5E%28-1%29=%287x%2B4%29%2Fx%29