Written Responses Question 16 (3 points) Provide complete solutions for the following questions. You may type in the space Consider the rational expression _ provided, or write your solutions by hand and then take a picture of your work and al Evaluate the expression for x = 3. upload the image, or use video note to record your work using your computer's camera. bl Evaluate the expression for x - -2. c) Explain why x = -2 is a permissible value but x = 3 is a non-permissible value. Question 7 (1 point) For the function g(x) = x2 + 5x - 2, determine g(-3x). Question 17 (6 points) Find an expression for the VOLUME and SURFACE AREA of the rectangular box shown below. Question 8 (6 points) Remember that volume = length x width x height and SA= 2/w + 2th + 2wh. Consider the function f(x) = (x - 1)2 + 2. a) Determine the inverse of f(x). b) Graph f(x) and its inverse on the same grid. c) Is the inverse a function? Explain your reasoning. d) Determine the domain and range of both f(x) and f-1(x). Question 9 (6 points) Simplify. State any restrictions on the variables. Question 18 (5 points) a) -15x2 x-+5x-14 Suppose that the expression 1472+12 b) (1+2)" - represents the area of a rectangle. 20x x2 -6x+8 Find the expression for the perimeter of the rectangle. Question 10 (6 points) (Remember : A = [ x wand P = 21 + 2w) Simplify. (Hint : Factor first and then split into two expressions) (3z)2 16y b) m' 5m-24 . m -10m+16 a) - Ary X 36x m- -9 m-3 Question 19 (5 points) Question 11 (6 points) Joe and Anne are solving the same geometrical problem. They have been asked to create an equation for the area of the following triangle in terms of x. (hover your Simplify. cursor over the diagram to help read the values. a) 203 + 1 304-1 a+2 b) 3a2+ 7a+2 2a2-a-10 Question 12 (4 points) Find an example of a function that produces the same image when its graph is reflected in the y-axis as it does when its graph is reflected in the x-axis, Graph the equation and the two images. Question 13 (3 points) a) Find a function that is equal to its own inverse function. b) How many different functions are there that are equal to their own inverse? Explain. Question 14 (2 points) Suppose you are given the graph of two functions. How could you tell whether one Joe's solution is: 4x-+ 18x - 36 function is the inverse of the other? Anne's solution is: (4x-6)(2z +12) Question 15 (2 points) Does every function have an inverse? If so, is the inverse of every function also a Are they both correct? Why or why not? Explain fully. function