(b) Solve the following: (i) x+7x-44 = 0 (ii) 6x2-7x-2=0 using the formula, with solutions to...

   

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(b) Solve the following: (i) x+7x-44 = 0 (ii) 6x2-7x-2=0 using the formula, with solutions to 3dp. (3) k(x)=+3 (c) Given the functions g(x) = 6-9x, h(x) = 5x-3 and k(x)= (i) Calculate k(-9) (ii) Work out g(33). (iii) Determine the inverse function, h(x). (iv) Work out then simplify k(g(x)) = (d) Consider the quadratic function, y =x2-2x (i) 1 Solve x 2-2x 15= the function meets the x -15. and therefore find the coordinates where - (ii) Give the coordinates of the vertex of y =x+4x-21. You may find it useful to rewrite the function in vertex form, y (x+a) + (6) (iii) Using the above information, draw a fully labelled graph of the quadratic function, y x2-2x-15 on a suitable set of axes. (a grid is provided on page 14 of this exam paper) (iv) On the same set of axes, also draw the graph of y =-2x-11. Carefully mark and label (on the graph) the coordinates of both points where y =-2x -11 intersects the graph of y=x 2x 15. (8) (b) Solve the following: (i) x+7x-44 = 0 (ii) 6x2-7x-2=0 using the formula, with solutions to 3dp. (3) k(x)=+3 (c) Given the functions g(x) = 6-9x, h(x) = 5x-3 and k(x)= (i) Calculate k(-9) (ii) Work out g(33). (iii) Determine the inverse function, h(x). (iv) Work out then simplify k(g(x)) = (d) Consider the quadratic function, y =x2-2x (i) 1 Solve x 2-2x 15= the function meets the x -15. and therefore find the coordinates where - (ii) Give the coordinates of the vertex of y =x+4x-21. You may find it useful to rewrite the function in vertex form, y (x+a) + (6) (iii) Using the above information, draw a fully labelled graph of the quadratic function, y x2-2x-15 on a suitable set of axes. (a grid is provided on page 14 of this exam paper) (iv) On the same set of axes, also draw the graph of y =-2x-11. Carefully mark and label (on the graph) the coordinates of both points where y =-2x -11 intersects the graph of y=x 2x 15. (8)