The function f is one-to-one. Find its inverse.f(x) = (x + 5)3
A. f-1(x) = 
- 5
B. f-1(x) = 
+ 5
C. f-1(x) = 
- 125
D. f-1(x) = 
- 5
Answer: A
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Solve the problem.The hyperbola 
- 
= 1 is shifted down 4 units and right 5 units. Find an equation for the new hyperbola and find the new vertices.
A. 
- 
= 1; vertices: (5 ± 
, -4 )
B. 
- 
= 1; vertices: (5, -4 ± 
)
C. 
- 
= 1; vertices: (5, -4 ± 
)
D. 
- 
= 1; vertices: (5 ± 
, -4 )
Use the graph of the function f(x) to locate the local extrema and identify the intervals where the function is concave up and concave down.
A. Local minimum at x = 3 ; local maximum at x = -3 ; concave up on (0, ?); concave down on (-?, 0) B. Local minimum at x = 3 ; local maximum at x = -3 ; concave down on (-?, -3) and (3, ?); concave up on (-3, 3) C. Local minimum at x = 3 ; local maximum at x = -3 ; concave down on (0, ?); concave up on (-?, 0) D. Local minimum at x = 3 ; local maximum at x = -3 ; concave up on (-?, -3) and (3, ?); concave down on (-3, 3)
Solve the problem.If the given figure goes through a 90° clockwise rotation about P, followed by a 90° counterclockwise rotation of the resulting figure about Q, find the final image.
A. 
B. 
C. 
D. 
Decide where the first digit in the quotient would be located. Then without finishing the division, determine which of the three choices is the correct answer.
A. 4455 B. 44,550 C. 446