Determine whether (f ? g)(x) = x and whether (g ? f)(x) = x.f(x) = x2 + 3 , g(x) =  - 3

A. No, yes
B. Yes, yes
C. Yes, no
D. No, no


Answer: D

Mathematics

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Solve.When a physics department had only a few faculty and staff members, each had an office with dimensions x ft by x ft. Now that the department has grown, its offices are being enlarged. Each faculty and each staff office will be made 3 ft wider, whereas each faculty office will also be made  longer. Write an expression for the ratio of the area of an enlarged faculty office to the area of an enlarged staff office. Simplify.

A.
B.
C.
D.

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Solve the problem.A size 8 dress in Country C is size 40 in Country D. A function that converts dress sizes in Country C to those in Country D is   Find the inverse of the function.

A. f-1(x) = 
B. f-1(x) = x - 12
C. f-1(x) =   - 12
D. f-1(x) =   + 12

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Solve the problem.Find the elasticity of demand E for the demand function q = 49,000 - 10p2

A. E = 
B. E = 
C. E = 
D. E = 

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Use the square root property to solve the quadratic equation.(13 - 4x)2 - 18 = 0

A.
B.
C.
D.

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