Let
\(f(x) = \begin{cases} -x^2 & \text{if } x \geq 0,\\ x+8& \text{if } x <0. \end{cases}\)
Compute \(f(f(f(f(f(1))))).\)
This is just tedious
f(1) = -1
f(-1) = 7
f(7) = -49
f(-49) = -41
f(-41) = -34
This is just tedious
f(1) = -1
f(-1) = 7
f(7) = -49
f(-49) = -41
f(-41) = -34