If the following defines a one-to-one function, find its inverse. If not, write "Not one-to-one."f(x) = 

A. f-1(x) = 
B. Not one-to-one
C. f-1(x) = (x + 3)2
D. f-1(x) = x2 - 3, x ? 0


Answer: D

Mathematics

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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: "nose" of the paraboloid x2 + y2 = 2z cut by the plane z = 2Density: ? = 

A. Iz = 8?
B. Iz = 128?
C. Iz = ?
D. Iz = ?

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For the given functions f and g, find the requested composite function.f(x) = 4x2 + 4x + 5, g(x) = 4x - 8;Find the function g ? f.

A. 16x2+ 16x + 28 B. 4x2 + 16x + 12 C. 16x2 + 16x + 12 D. 4x2 + 4x - 3

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Solve the matrix equation. = 

A. x = 2, y = 1, z = 6 B. x = -1, y = 6, z = 1 C. x = -1, y = 2, z = 1 D. x = 2, y = -1, z = 4

Mathematics

Decide whether or not the functions are inverses of each other.f(x) = 9x2 + 2, g(x) = 

A. Yes; No values need to be excluded. B. No C. Yes; Exclude the interval (-?, 2) D. Yes; Exclude the interval (-?, 9)

Mathematics