1 .Function is defined as follows:
\(\[g(x) = \left\{ \begin{array}{cl} 5x^2 & \text{if } x \le -3, \\ 21+x& \text{if }-3 < x \le 10, \\ 2-\sqrt{x}& \text{if }x > 10. \end{array}\right.\]\)
This function has an inverse.
What is \(g^{-1}(-7)\)
2. Function C is defined on positive integers as follows:
\(\[C(n) = \begin{cases} \dfrac n 2 & \text{if $n$ is even}, \\ 3n+1 & \text{if $n$ is odd}. \end{cases}\]\)
Find the smallest positive integer m such that \(C^m(9) = 1\)
2b. Find all n such that \(C^3(n) = 16\)
