Show that f and g are inverses of each other by verifying that f(g(x)) = x = g(f(x)).f(x) = 
; g(x) = 4 - x2
What will be an ideal response?
f(g(x)) = f(4 - x2) = 
= 
= 
= x
g(f(x)) = g(
) = 4 - 
2 = 4 - (4 - x) = 4 - 4 + x = x
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Solve the problem.The shape and density of a thin shell are indicated below. Find the moment of inertia about the z-axis.Shell: upper hemisphere of x2 + y2 + z2 = 16 cut by the plane z = 0Density: ? = 5
A. Iz = 80?
B. Iz = 640?
C. Iz = 160?
D. Iz = 
?
Solve. Round to the nearest whole if necessary.20% of the teachers in a school are male. If there are 1050 teachers altogether, how many teachers are male?
A. 2 teachers B. 840 teachers C. 210 teachers D. 5250 teachers
Simplify the expression.
+ 
A. tan x B. cot 2 x C. sin x D. cot x
Solve the application.Find the difference in altitude between a diver 21.47 meters below sea level and a sea floor 27.21 meters below sea level.
A. 5.74 m B. -5.74 m C. 48.68 m D. -48.68 m