5x+3 1. Given g(x)= - determine g (g(-3)). (1 mark) x-1 2. Use the graphs of...

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5x+3 1. Given g(x)= - determine g (g(-3)). (1 mark) x-1 2. Use the graphs of y = f (x) and y = g(x) to sketch the graph of y = h(x). Hint: Estimate the function values from the graph. a. h(x)=(g)(x). (1 mark) y=g(x) b. h(x)= -4 (x). (1 mark) g y=g( C. h(x)=(gf)(x) Hint: This is a composition of functions. (1 mark) y= g(x) =Ax 3. Given h(x)=(gf)(x), where h(x) = 2x-x-6x+3 and g(x)=2x-1, algebraically determine f (x). (2 marks) 4. Two functions are given as f (x) = 3x +1and g(x)=2x-5. a. Algebraically determine h(x) = (fog)(x) in simplest form. (2 marks) b. Using interval notation, state the domain and range of h(x) (1 mark) 5x+3 1. Given g(x)= - determine g (g(-3)). (1 mark) x-1 2. Use the graphs of y = f (x) and y = g(x) to sketch the graph of y = h(x). Hint: Estimate the function values from the graph. a. h(x)=(g)(x). (1 mark) y=g(x) b. h(x)= -4 (x). (1 mark) g y=g( C. h(x)=(gf)(x) Hint: This is a composition of functions. (1 mark) y= g(x) =Ax 3. Given h(x)=(gf)(x), where h(x) = 2x-x-6x+3 and g(x)=2x-1, algebraically determine f (x). (2 marks) 4. Two functions are given as f (x) = 3x +1and g(x)=2x-5. a. Algebraically determine h(x) = (fog)(x) in simplest form. (2 marks) b. Using interval notation, state the domain and range of h(x) (1 mark)