SHORT ANSWER, with work required to be shown, as indicated. 22. Let f(x) =x -6 and g(x) = vx+5. (a) Find (5 ) (-4) . Show work. (b) Find the domain of the quotient function . Explain. g 23. Points (5, -10) and (1, 2) 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 (6, -8) and (3, -2). Write the equation in slope-intercept form. Show work. 25. A salesperson earns a base salary of $1,850 per month and a commission of 6.4% on the amount of sales made. If the salesperson has a paycheck of $3,046.80 for one month, what was the amount of sales for the month? Show work. 26. Let f (x) = 2x2 + 5 and g(x) = x -3. (a) Find the composite function (fog)(x) and simplify. Show work. (b) Find (fog) (-1). Show work. 27. Find the exact solutions and simplify as much as possible: 2x~ + 5 = 8x. Show work. 28. Given the function f(x) =8+ - x, find a formula for the inverse function. Show work