2)a) Using matrix method solve the following simultaneous equations

2x + 3y = 9

3x ! 1y = 8

b)

Find the determinant of the following matrix

4-32

-131

223

c)If told that |A| = -25 find the possible value(s) for x

2xx

A =3xx( 4 marks)

3)Given that f(x) = 2x - 3 g(x) = 3x + 5 and h(x) = x² - 4

x

Find:-i) f(-4) =ii) g[f(4)] =iii) f[g(-2)] =

iv) hof(x)v) g^-1(4) =

4.Given the functionsg(x) =2x + 3find g^-1(x)

x - 5

5.Two numbers when multiplied equals 45.

one number is x and the other number is greater than x by 4

a)Represent the information given in equation form.

b)Express as a quadratic equation

c)Solve the quadratic equation to find possible values for x

d)If told that the two number were positive, give the values of the two original numbers.

6.Solve the following quadratic equations ( hint use the quadratic formula)

a) 2x² + 7x + 3 = 0b) 10x² + 9x - 9 = 0

7.Find the equation of the line joining the points (2, 3) and (4, 7)

8.Find the equation of the line passing through the point (7, 2) and perpendicular to the line 5y = 9 - 2x