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MATH 1151 ---- 9.27.12 Discussion 1.) Find the amplitude, period, and phase shift of y = -3sin(-2x + π/2). Then, sketch the graph. 2.) Write the equation of the sine function that has an amplitude of 2, a period of π, and a phase shift of -2. 3.) Graph y = -csc(- ). 4.) For f(x) = 3x + 2 and g(x) = 2x2 – 1, find f(g(4)). 5.) For f(x) = |x-2| and g(x) = 6.) For f(x) = √ , find g(f(x+1)). and g(x) = 1-2x, find the domain of g(f(x)) and f(g(x)). 7.) Find the inverse of f(x) = . Find the domain and range of both f(x) and f-1(x). 8.) Find the exact value of each expression: a. cos-1(1) √ d. tan-1( ) b. cos-1(-1) c. tan-1(-1) √ e. sin-1 f. sin-1 √ 9.) Use a calculator to find the value of each expression rounded to two decimal places: a. cos-1(0.6) b. tan-1(0.2) c. sin-1(-0.12) 10.) Find the exact value of each expression, without using a calculator: a. tan-1[tan 11.) Find the inverse function b. sin-1[sin of each function a. State the domain of b. 12.) Find the exact solution of each equation. a. 2cos-1x = π b. -6sin-1(3x) = π and .