f(x) = -x + 3 if x <= 0
f(x) = -2x - 5 if x > 0
How many solutions does the equation f(f(x)) = 4 have?
If your amount (4) is greater than 0, then you would use the equation -2x - 5.
So, for an official way to show your work:
f(4) = -2x - 5
f(4) = -2(4) - 5
f(4) = -8 - 5
f(4) = -13
4 doesn't equal -13, neither is -13 greater than 0, therefore this equation is inaccurate.
I believe that your answer has no solution due to it being a false equation. Therefore, the amount of solutions that your equation has is none. Feel free to correct me if I'm wrong though, since it has been a while since I have reviewed this..!