If a question is worth more than 1 mark, show all calculations and steps to receive...

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If a question is worth more than 1 mark, show all calculations and steps to receive full marks. 1. Given f(x)=3x-6 and g(x)=10-5x, determine the following. Simplify all answers and state any variable restrictions. a. b. (A)(x) g ool' (2 marks) (2 marks) 2. Given f(x)=3x+1, g(x)=x+2 and h(x)=(x-1), simplify each of the following functions and state any variable restrictions. a. (fog)(x) b. (hof)(x) c. (hog)(x) (2 marks) (2 marks) (2 marks) 3. If f(x)=x and g(x)=x-3 determine x such that f(g(x)) = g(f(x)). (2 marks) Page 3 of 5 4. Given f(x)=2-x and g(x)=4-x, determine y = - y=- g(f(x)) g(f(x)) 5. Solve the inequality ->-2 by first expressing it in the form 2x x+1 Express the solution in interval notation. VVS: 31 1A 22/23 and state the domain of P(x) >0. Q(x) (3 marks) (4 marks) Page 4 of 5 x+2 6. Solve the inequality 2 using case analysis. x- -3 VVS: 31 1A 22/23 (6 marks) Page 5 of 5 7. Solve the system of equations using substitution. x-3=8y 5x-9y=-47 8. Solve the system of equations using elimination. 7y=2x-3 5x-3y=22 VVS: 31 1A 22/23 (3 marks) (3 marks) If a question is worth more than 1 mark, show all calculations and steps to receive full marks. 1. Given f(x)=3x-6 and g(x)=10-5x, determine the following. Simplify all answers and state any variable restrictions. a. b. (A)(x) g ool' (2 marks) (2 marks) 2. Given f(x)=3x+1, g(x)=x+2 and h(x)=(x-1), simplify each of the following functions and state any variable restrictions. a. (fog)(x) b. (hof)(x) c. (hog)(x) (2 marks) (2 marks) (2 marks) 3. If f(x)=x and g(x)=x-3 determine x such that f(g(x)) = g(f(x)). (2 marks) Page 3 of 5 4. Given f(x)=2-x and g(x)=4-x, determine y = - y=- g(f(x)) g(f(x)) 5. Solve the inequality ->-2 by first expressing it in the form 2x x+1 Express the solution in interval notation. VVS: 31 1A 22/23 and state the domain of P(x) >0. Q(x) (3 marks) (4 marks) Page 4 of 5 x+2 6. Solve the inequality 2 using case analysis. x- -3 VVS: 31 1A 22/23 (6 marks) Page 5 of 5 7. Solve the system of equations using substitution. x-3=8y 5x-9y=-47 8. Solve the system of equations using elimination. 7y=2x-3 5x-3y=22 VVS: 31 1A 22/23 (3 marks) (3 marks)