*a). Given that \( f(x)=2 x+1 \) and \( g(x)=x^{2}-2 \), obtain (i) \( f \circ g(0) \) (ii) \( \left(g \circ f^{-1}(-2)\right. \)

8. Factorise each of the following expressions. (a) \( x(x-5)+6 \) (b) \( x^{2}+3(x-6) \) (c) \( (x-3)^{2}+12 x \) (d) \( (x+3)(x-4)-8 \) (e) \( (3 x-4)(2 x-5)+8(2 x-5) \) (f) \( (3 x-4)^{2}-(2 x+1)^{2} \)

7. Factorise each of the following. (a) \( -x^{2}+5 x-6 \) (b) \( -x^{2}+7 x+8 \) (c) \( -2 x^{2}-11 x-5 \) (d) \( -3 x^{2}-11 x+4 \)

6. Factorise each of the following expressions. \( \begin{array}{ll}\text { (a) } 2 x^{2}+3 x+1 & \text { (b) } 2 x^{2}+7 x+5 \\ \text { (c) } 3 y^{2}-5 y+2 & \text { (d) } 3 y^{2}-11 y+10 \\ \text { (e) } 4 m^{2}-4 m+1 & \text { (f) } 4 m^{2}+4 m-3\end{array} \)

\( z = \sqrt[ 5 ] { - i \overline { z } } \)

10. \( \frac{7 x+65}{5}=6 \)