SHORT A with work required to be shown, as indicated. 22. Let f (x) = x - 5 and g(x) = Vx+4. (a ) Find ( 2 ) - 3). Show work . (b) Find the domain of the quotient function - . Explain. g 23. Points (-9, 5) and (3, 1) are endpoints of the diameter of a circle. (a) What is the length of the diameter? Give the exact answer, simplified as much as possible. Show work. (b) What is the center point C of the circle? (c) Given the point C you found in part (b), state the point symmetric to C about the x-axis. 24. Find the equation for a line which passes through the points (5, 2) and (7, -8). Write the equation in slope-intercept form. Show work. 25. Bob, a resident of Metropolis, pays Metropolis an annual tax of $85 plus 1.4% of his annual income. If Bob paid $1,030 in tax, what was Bob's income? Show work. 26. Let f (x) = 8x2 + 9 and g(x) = x- 2. (a) Find the composite function (f og)(x) and simplify. Show work. (b) Find (fog) (-1). Show work. 27. Find the exact solutions and simplify as much as possible: 5x2 + 12 = 20x. Show work. X- - (-20 ) +V(- 281 2 - 4x5x 12 x= 20 = 40 - 240 2 * 5 : 20 1 41 10 *= 20+ 4 VID 28. Given the function f(x) = - x-8, find a formula for the inverse function. Show work. 4 + ( + - 32 ) 4.25 (X- 32) ( 32 , 8 ) Page 10 of 1 1 * ER (0,-8 )