Question: 9. Consider the logarithmic function g(x) = log [ -2(x - 2) + 1] (a) Describe the transformations that must be applied to f(x) =

9. Consider the logarithmic function g(x) = log [ -2(x - 2) + 1] (a) Describe the transformations that must be applied to f(x) = log x to obtain g(x). (K2) (K2) b) Sketch the graph. (c) Domain: (K3) Range: Vertical Asymptote: (d) If (32, 1.5) is a point on f(x), state the co-ordinates of its image point on g(x). (K1) Application 10. Solve the equation (V243) 52x+3 )X - 5 (A4) 11. Given log a = = and log b = , evaluate the following: log ((ab)?) (arab (A4) 12. State the restriction on x in the expression log(2x2 - 5x - 3) - log(x2 - 7x + 12). Explain your answer. (A3)

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