Evaluate.Find (f + g)(-1) when f(x) = x - 1 and g(x) = x - 2.

A. -1
B. 1
C. -3
D. -5


Answer: D

Mathematics

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Solve the problem. Assume all numbers are approximate unless otherwise stated or the number has been determined by a definition or counting process.The expression  will tell you how high, in meters, you must raise the hammer of a pile driver when you know the mass (m) of the hammer in kg, and what potential energy (PE) in Joules is required. Find the height to which a 59-kg hammer must be raised to have 1780 J of potential energy.

A. 3.079 m B. 3.08 m C. 3 m D. 3.1 m

Mathematics

Find all values of ? with the given trigonometric function value.sin ? = - 

A. 225° + n ? 360°; 315° + n ? 360°, n any integer B. 45° + n ? 360°; 225° + n ? 360°, n any integer C. 135° + n ? 360°; 225° + n ? 360°, n any integer D. 45° + n ? 360°; 315° + n ? 360°, n any integer

Mathematics

Find f(x) and g(x) such that h(x) = (f ? g)(x). Answers may vary.h(x) = 

A. f(x) = , g(x) = 5
B. f(x) = , g(x) = 6x + 10
C. f(x) = 5, g(x) = 
D. f(x) = , g(x) = 6x + 10

Mathematics

Simplify. Assume all variables have non-negative values.

A. 2 
B. 27
C.  
D.  

Mathematics