Provide an appropriate response.What does it mean that a function f has an inverse?
What will be an ideal response?
If f has an inverse function called g then (f ? g)(x) = x for all x in the domain of g and (g ? f)(x) = x for all x in the domain of f.
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Solve the problem.Before exercising, an athlete measures her air flow and obtains a = 0.65 sin 
where a is measured in liters per second and t is the time in seconds. If a > 0, the athlete is inhaling; if a < 0, the athlete is exhaling. The time to complete one complete inhalation/exhalation sequence is a respiratory cycle. What is the amplitude? What is the period? What is the respiratory cycle? Graph a over two periods beginning at t = 0. 
What will be an ideal response?
Factor the polynomial function.H(a) = a3 - 4a2 - 4a + 16
A. H(a) = (a + 4)(a + 2)(a - 2) B. H(a) = (a - 4)(a - 2)2 C. H(a) = (a - 4)(a + 2)2 D. H(a) = (a - 4)(a + 2)(a - 2)
Define the variable expression using the given information.Rasheed's monthly salary is $190 more than Fred's monthly salary. Define the variable expression for Rasheed's monthly salary using the variable f to represent Fred's salary.
What will be an ideal response?
Solve the problem.Jill is 22.5 kilometers away from Joe. Both begin to walk toward each other at the same time. Jill walks at 2 kilometers per hour. They meet in 5 hours. How fast is Joe walking?
A. 3.5 kilometers per hour B. 2.5 kilometers per hour C. 4.5 kilometers per hour D. 2 kilometers per hour