Solve the following equations by using matrix inverse method : \[ \begin{aligned} 8 x-y+3 z & =9 \\ x+y+z & =6 \\ x-y+z & =2\end{aligned} \]

If a function \( f(x) = 3x + 2 \), what is its inverse function?

Divide \( x^{3}+2 x^{2}-5 x+12 \) by \( (x+3) \)

Solve the following inequality: \[ \frac{r}{2}+15>45 \]

Solve \( 8 n-11<5 n+4 \)

\( 4 ( ( \frac { \sqrt { 3 } } { 2 } x - \frac { 1 } { 2 } y ) ^ { 2 } ) + ( 2 \sqrt { 3 } ( \frac { \sqrt { 3 } } { 2 } x - \frac { 1 } { 2 } y ) ( \frac { 1 } { 2 } x + \frac { \sqrt { 3 } } { 2 } y ) ) + 2 ( ( \frac { 1 } { 2 } x + \frac { \sqrt { 3 } } { 2 } y ) ^ { 2 } ) + 10 \sqrt { 3 } ( \frac { \sqrt { 3 } } { 2 } x - \frac { 1 } { 2 } y ) + 10 ( \frac { 1 } { 2 } x + \frac { \sqrt { 3 } } { 2 } y ) = 5 \)