This is a timed test. You will need to complete this exam within 1 hour (60 minutes) and you will not be able to pause the exam once you have started. 

Find the inverse function f-1 of the function f.f(x) = – sin(x + 2) – 5

Find the domain of the function f and of its inverse function f-1.f(x) = 2 sin(9x – 1)

Solve the equation on the interval 0 ≤ θ < 2π.2 cos(2θ) =

Find the domain of the function f and of its inverse function f-1.f(x) = tan(x – 2) + 7

Find the exact value under the given conditions.cos α = – , < α < π; sin β = - , π < β < Find cos (α + β).

Find the exact value under the given conditions.sin α = – , < α < 2π; cos β = - , π < β < Find sin (α - β).

A 62-year-old male presents to your clinic with concern for shortness of breath. He describes the sensation as “tightness in the chest” that began gradually over the past three weeks. The dyspnea worsens with exertion and improves with rest. He rates the intensity as 6 out of 10 and denies wheezing, cough, or fever. He has a history of hypertension and hyperlipidemia but no known pulmonary disease.  Which of the following symptom dimensions is least helpful in narrowing the differential diagnosis for this patient’s dyspnea?