SOLUTION: f(x)= 2x+3 all over x-1 Show that f inverse of x= x+3 all over x-2

Algebra ->  Functions -> SOLUTION: f(x)= 2x+3 all over x-1 Show that f inverse of x= x+3 all over x-2      Log On


   

Question 1077055: f(x)= 2x+3 all over x-1
Show that f inverse of x= x+3 all over x-2
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
%282x%2B3%29%2F%28x-1%29


Let g(x) be the inverse of f(x).
%282g%28x%29%2B3%29%2F%28g%28x%29-1%29=x


-
2g%28x%29%2B3=x%28g%28x%29-1%29
2g%28x%29%2B3=x%2Ag%28x%29-x
2g%28x%29-x%2Ag%28x%29=-x-3
g%28x%29%282-x%29=-x-3
g%28x%29=%28-x-3%29%2F%282-x%29
g%28x%29=%28x%2B3%29%2F%28x-2%29
DONE