College Algebra MATH 107 Spring, 2019, V4.5 SHORT ANSWER, with work required to be shown, as indicated. College Algebra MATH 107 Spring, 2019, V4....

Need help with the following questions. Please provide the proof of work so I can learn the material.

College Algebra MATH 107Spring, 2019, V4.5SHORT ANSWER, with work required to be shown, as indicated.College Algebra MATH 107Spring, 2019, V4.522. Let f(x) = x - 2 and g(x) = Vx+3.Show work .29. Chocolate Confections, Inc. has determined that when x chocolate cakes are made daily, theaverage cost per chocolate cake, in dollars, is given by(b) Find the domain of the quotient function . . Explain.C(x) = 0.001 x2 - 0.14x + 14.40g(a) What is the average cost per cake if 50 chocolate cakes are made daily?23. Points (1, 4) and (-7, 6) are endpoints of the diameter of a circle.(b) How many chocolate cakes should be made daily in order to minimize the average cost percake? Show work.(a) What is the length of the diameter? Give the exact answer, simplified as much as possibleShow 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 y-axis.30. Solve: *+230x - 3 x2 _9 . Show work.24. Find the equation for a line which passes through the points (- 2, 3) and (- 4, 7). Write theequation in slope-intercept form. Show work.25. A salesperson earns a base salary of $1,280 per month and a commission of 6.4% on theamount of sales made. If the salesperson has a paycheck of $4,505.60 for one month, what wasthe amount of sales for the month? Show work.26. Let f (x) = 3x2 + 12 and g(x) = x -4.(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: 4x2 + 25 = 30x. Show work.28. Given the function f(x) =3--x, find a formula for the inverse function. Show work.Page 11 of 11Page 10 of 11MacBook Pro