The document finds the inverse of the function f(x)=|x^2-5|. The inverse is determined to be the piecewise function: √(x+5) = y when x > √5 √(-x+5) = y when 0 < x < √5 This gives the essential information that the inverse is a piecewise function based on the value of x and provides the equations for the two pieces.

1. David’s Problem of the Week 5/16-5/20

2. f(x)= | x^2 – 5 | Find the inverse of f(x) and give 5 points of the inverse.

4. The Solution Note: Since the function is absolute value, the inverse must be piecewise in this case √ (x + 5) = y when x > √5 √ (-x + 5) = y when 0<x< √5 f^(-1)(x)=