If f(x)={√(1-x2) if -1<=x<0; |x-1| if x>0 } , find all solutions of the equation f(x)=x

Question

If f(x)={√(1-x²) if -1<=x<0; |x-1| if x>0 } , find all solutions of the equation f(x)=x

Answer 1

I'm with Mark (see comments). This is confusing because of your comment "find all solutions of the equation f(x)=x"

f(x) = x is a specific function not related to the other functions you specify. I suspect you mean "find all solutions of the equation f(x) = 0"

If so, the solutions are x = -1 and x = 1.