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(Solved):     2. (30pt) Suppose the functions \( f(x), g(x), h(x), r(x) \) and \( l(x) \) are d ...



2. (30pt) Suppose the functions \( f(x), g(x), h(x), r(x) \) and \( l(x) \) are defined as follows:
\[
\begin{array}{l}
f(x)=

 

(c) (4pt) Write down \( D_{h} \) and then solve the inequality
\[
2<h(x)
\]
(d) (5pt) Write down \( D_{r} \) and then solve t

 

2. (30pt) Suppose the functions \( f(x), g(x), h(x), r(x) \) and \( l(x) \) are defined as follows: \[ \begin{array}{l} f(x)=\frac{1}{3} \log _{3} \frac{1}{4}+\log _{3} x \\ g(x)=\sqrt{(x+3)^{2}} \\ h(x)=5 x-2 x^{2} \\ r(x)=2^{3 x-1}-2^{x+2} \\ l(x)=\frac{1}{\sqrt{x-2}} \end{array} \] (c) (4pt) Write down \( D_{h} \) and then solve the inequality \[ 2


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