SOLUTION: Restrict the domain of that function f so it is one-to-one and has an inverse function. f(x)= -|x-5|+4 Thanks.

Algebra ->  Trigonometry-basics -> SOLUTION: Restrict the domain of that function f so it is one-to-one and has an inverse function. f(x)= -|x-5|+4 Thanks.      Log On


   



Question 358269: Restrict the domain of that function f so it is one-to-one and has an inverse function. f(x)= -|x-5|+4 Thanks.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The function has an inverted v-shaped graph, with "vertex" at the point (5,4), and x -intercepts 1 and 9. So you can have two possibilities here: restriction to (-infinity, 5] or restriction to [5, infinity).