SOLUTION: 1) Givem the function F:X=6X-2/X, X>0,find: a) F-1(inverse) b) f-1(-1) c) f-1(-4)

Algebra ->  Rational-functions -> SOLUTION: 1) Givem the function F:X=6X-2/X, X>0,find: a) F-1(inverse) b) f-1(-1) c) f-1(-4)      Log On


   

Question 364459: 1) Givem the function F:X=6X-2/X, X>0,find:
a) F-1(inverse)
b) f-1(-1)
c) f-1(-4)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y=%286x-2%29%2Fx
Interchange x and y and solve for y.
The new y will be the inverse of the original function.
highlight_green%28x%29=6%2Ahighlight_green%28y%29-2%29%2Fhighlight_green%28y%29
xy=6y-2
xy-6y=-2
y%28x-6%29=-2
y=-2%2F%28x-6%29
highlight%28+F%5E%28-1%29%28x%29=2%2F%286-x%29%29
.
.
F%5E%28-1%29%28-1%29=2%2F%286-%28-1%29%29
highlight%28+F%5E%28-1%29%28-1%29=2%2F7%29
.
.
F%5E%28-1%29%28-4%29=2%2F%286-%28-4%29%29
F%5E%28-1%29%28-4%29=2%2F10
highlight%28+F%5E%28-1%29%28-4%29=1%2F5%29