SOLUTION: find f^-1(x) if f(x)=(-1/3)x +1/4

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: find f^-1(x) if f(x)=(-1/3)x +1/4       Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 152897: find f^-1(x) if f(x)=(-1/3)x +1/4

Answer by Fombitz(13823) About Me  (Show Source):
You can put this solution on YOUR website!
To find the inverse use x and y (instead of f(x)).
y=%28-1%2F3%29x+%2B1%2F4
Now interchange x and y and solve for y.
y=%28-1%2F3%29x+%2B1%2F4
highlight%28x%29=%28-1%2F3%29highlight%28y%29+%2B1%2F4
%28-1%2F3%29y=x-1%2F4
y=-3%28x-1%2F4%29
That's the inverse.
f%5E%28-1%29%28x%29=-3%28x-1%2F4%29