本题目来源于试卷: Trigonometric Functions，类别为 IB数学
[问答题]
Let f(x)=3 cos (2 x57iab(z48 0q igiaj( :ll sbkn)+5 v*s9w rn;jc3z.wf d4e , for $x \in \mathbb{R}$ .
The range of f is $p \leq f(x) \leq q$ .
1. Find the value of p and the value of q .
Let g(x)=4 f(3 x) , for x $\in \mathbb{R}$ .
2. Find the range of g .
The function g can be written in the form g(x)=12 cos (k x)+c .
3. 1. Find the value of k and the value of c .
2. Find the period of g .
The equation g(x)=10 has two solutions for $\frac{2 \pi}{3} \leq x \leq \pi $.
4. Find both solutions.
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