Find f(x) and g(x) so that the function can be described as y = f(g(x)). (5 points) y = + 9

Find the exact real value of arcsin . (5 points)

The decay of 923 mg of an isotope described by the function A(t)= 923e-0.027t, where t is time in years. Find the amount left after 76 years. Round your answer to the nearest mg. Show all of your work for full credit. (5 points)

Find the amplitude y = 3 sin x (5 points)

_______ must occur before a shear failure can occur in most concrete beams.

Find the zeros of the function. (5 points) f(x) = x2 – 6x + 8  

Find the exact value of arctan (sin ( )). For full credit, explain your reasoning. (5 points)

Decide whether the function is an exponential growth or exponential decay function, and find the constant percentage rate of growth or decay. (5 points) f(x) = 2149 ⋅ 0.9915x  

Choose the graph of y = 1.5sin x. (5 points)

The decay of 923 mg of an isotope described by the function A(t)= 923e-0.027t, where t is time in years. Find the amount left after 76 years. Round your answer to the nearest mg. Show all of your work for full credit. (5 points)