Match the following conjugate factors to the appropriate quadratic factor created when multiplying the factors together. \[ \begin{array}{l}(x+7-2 i)(x+7+2 i) \\ \qquad \begin{array}{l}\text { a. } x^{2}+14 x+53 \\ (x+4-2 \sqrt{2})(x+4+2 \sqrt{2}) \\ (x-6 i)(x+6 i)\end{array} \\ \begin{array}{l}\text { b. } x^{2}+8 x+8\end{array}\end{array} . \]

1. Given that \( f(x)=x^{2}, g(x)=\frac{2}{x} \) and \( h(x)=2 x \), Find the following: \( \begin{array}{ll}\text { (a) } g(h(x)) & \text { (b) } f^{-1}(h(x)) \\ \text { (c) } h(f(-1)) & \text { (d) } g^{-1}(f(-1)) \\ \text { (e) } g(h(f(x))) & \text { (f) } h^{-1}(f(g(x)))\end{array} \)

The total of \( x \) and 78 is 24

3. Solve: \( \quad 3(2 x-1)+4=4(x+2) \)

\( x+y+z=6 \) \( 3 x-2 y+6 z=11 \) \( x+z=7 \) Selesaikan porsamaun ini dengan operas baris elementer-dengan actem porcyection.

\( \left. \begin{array} { c } { x + y + z = 6 } \\ { \left. \begin{array} { c } { 3 x - 2 y + 6 z = 11 } \\ { x + z = 7 } \end{array} \right. } \end{array} \right. \Rightarrow \left[ \begin{array} { c c c c } { 1 } & { 1 } & { 1 } & { 6 } \\ { 3 } & { - 2 } & { 6 } & { 1 } \\ { 1 } & { 0 } & { 1 } & { 7 } \end{array} \right] \)