Please refer to the pictures I added for the questions.

22. Let f(x) = vx+2 and g(x) =x -3 . (a) Find 1 (-1). Show work. (b) Find the domain of the quotient function . Explain. g 23. Points (-3, 2) and (1, 8) 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 (3, -8) and (5, -2). Write the equation in slope-intercept form. Show work. 25. Marcia, a resident of Metropolis, pays Metropolis an annual tax of $46 plus 2.4% of her annual income. If Marcia paid $1,558 in tax, what was Marcia's income? Show work. 26. Let f(x) = 4x2 + 9 and g(x) = x + 3. (a) Find the composite function (fog)(x) and simplify. Show work. (b) Find (fog) (-5). Show work. 27. Find the exact solutions and simplify as much as possible: 3x2 + 1 = 10x. Show work. 28. Given the function f(x) = _x+4, find a formula for the inverse function. Show work.29'. Donut Delights, Inc. has determined that when x donuts are made daily, the prot P, in dollars, is given by Pop) - 4mm 11 I 4.7x 1900 (a) What is the company's prot if 800 donuts are made daily? (b) Howr many donuts should be made daily in Older to maximize the company's prot? Show work. xlO 42 + x7 x2-49 30. Solve: = 0 . Show work