2 2 2 Find the inverse of fz Preview Solutionf x x 2 x

Solution

f (x) = ( - x + 2)/ ( x - 2) Let y = f (x). Then y = - (x - 2)/ ( x -2) = -1 if x 2 . If x = 2, then f ( x) is not defined as division by 0 is not defined.

Now f (x ) = -1 There is no standard result in mathematics for the inverse of this function.

NOTE:

We y is expressed as a function of x, we solve for x in terms ofy. Then we switch x and y to get the inverse function.