Please answer the following questions and add your steps:

1. Simplify: (5x + 3)' - (4x + 1)(6 - x) (4 marks) 2. Perform the indicated operation and simplify: (8 marks: 4 marks each) a) -6180 + 2175 - 8 245 - 14V108 b) (215 - 416 ) (3 /3 + 8V2) 3. Simplify, and state the restrictions on the variable: x' -x-6 x' - 2x+1 (7 marks) x' -4 x' -1 2x 8 b) (5 marks) 9x +15x 3x +5 4. Determine if the following expressions are equivalent. Justify your answer. Ax) = . 6x* +7x-3 and g(x) = 3x(3x + 1) - (1 + 9x") (6 marks) 2x + 35. Given the functions a) y= (x+ 1)' - 8 b) y = vx-3 c) y x+4 i) Identify if each function is a linear, quadratic, square root, or reciprocal function. (3 marks) li) State the domain and range of each function. (6 marks) ill) Determine A(3). (3 marks) Iv) Express function (a) In two other ways. (2 marks) 6. Given the function f(x) = Vx - 3 a) Determine the inverse. (2 marks) b) Graph the function and its inverse. (2 marks) c) State if the inverse is a function. Justify your answer. (2 marks)7. For each of the following, identify the base function and describe the transformation(s): a) Ax) = -(x+1) (3 marks) b) A(x) =-4(3x)* +5 (5 marks) 8. Describe the transformations that must be applied to the graph of the base function f(x) to obtain the transformed function. Write the transformed equation in simplified form. Ax) = x, y=7/(-- (x- 1)) + 1 (10 marks) 9. a) State the base function that corresponds to the transformed function y= -2(- =(x + 2))' - 4. (1 mark) b) State the parameters and describe the corresponding transformations. (5 marks) c) Complete the table of values and plot the transformed points to obtain the graph of y = -2(- =(x+ 2))' - 4. (5 marks) y = (x) y= f-x y=-26-2x y=-20-1(x + 2)12 -4 (0, 0) (1, 1) (2,4) (3,9) d) State the domain and range of the graph of the transformed function. (2 marks)10. Use the discriminant to determine the number of x-intercepts for each quadratic - function: (6 marks: 2 marks each) a) ((x) = 3x - 5x+ 1 b) f(x) = 2x + x+ 1 c) f(x) =4x - 12x+9 11. a) Express the function f(x) = 4x - 12x + 5 in factored form (2 marks) and determine each of the following: i) the x-intercepts (2 marks) 10) the vertex (2 marks) b) Sketch the graph of the function. (2 marks) c) State the minimum or maximum value. (1 mark) 12. a) Express the function f(x) = -5x + 20x + 2 in vertex form. (3 marks) b) State the vertex. (2 marks) c) State the maximum or minimum value of the function. (1 mark) d) Determine the x-intercepts. (2 marks)