17. Let f (x) =- X SHORT ANSWER, with work required to be shown, as indicated. 12 -4 (a) State the domain. Answer. 18. Find the equation for a line which passes through the points (9, -5) and (3, 1). Write the equation in slope-intercept form. Show work. (b) State the vertical asymptote(s). Answer. (c) State the horizontal asymptote. Answer. 19. Find the exact solutions and simplify as much as possible: 32x + 1 = &x. Show work. (d) Which of the following represents the graph of f (x) = - ? Answer. 20. Let f(x) = 2x- - 7 and g(x) = x -4. GRAPH A. GRAPH B. (a) Find the composite function (f . g)(x) and simplify. Show work. (b) Find (f - 8)(-1) . Show work. 21. A projectile is launched from a platform 30 feet high with an initial velocity of 112 feet per second, -il 5 10 The height h of the projectile at r seconds after launch is given by h = -167 + 112/ + 30 feet. (a) How many seconds after launch does the projectile attain maximum height? Show work. (b) What is the maximum height? Show work. GRAPH C. GRAPH D. 22. Solve: - x - 8 -+ 30 X -5 x2 - 25 = 0. Show work. 23. Suppose that cos 8 = 12/13 and that & is a Quadrant IV angle. (a) Find the exact value of sin e. Show work. 10 (b) Find the exact value of sin 20. Show work. 24. Prove the identity (sin x - cos x) = 1 - sin(2x)