+12 Thefunction$f(x)$isdefinedfor$1≤x≤5$asfollows:\[f(x)={−2x+4if 1≤x≤2,5−xif 2<x≤3,9−2xif 3<x≤4,6−xif 4<x≤5.\]Findallrealnumbers$x$suchthat$f(x)=x$.
+789 To find the values of x such that f(x)=x, we need to solve each of the following equations:
2x+1=x
7−x=x
10−2x=x
10−x=x
Solving the first equation, we get x=−1.
Solving the second equation, we get x=3.5.
Solving the third equation, we get x=5.
Solving the fourth equation, we get x=5.
Therefore, the values of x such that f(x)=x are −1, 3.5, and 5.
