Question 5: (2 points) Find the domain of the rational function. a: 8 a; = __ f( ) 3+9 Enter your answer in interval notation. To enter 00, type innity. To enter U, type U. Note: There is a sample student explanation given in the feedback to this question. Question 6: (4 points) Find the domain, vertical asymptotes, and horizontal asymptotes of the function. _ :cl- f0\") _ $2~36 Enter the domain in interval notation. To enter 00, type innity. To enter U, type U. Domain: The elds below accept a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or a: + 1; a: 1). The order of the lists do not matter. Vertical asymptotes: Horizontal asymptotes: y: Question 7: (4 points) Find the x- and yintercepts for the function. +9 ft = 3 H z2+16 Enter your answers as points, (a, b). The m-intercept is The y-intercept is Show your work and explain, in your own words, how you arrived at your answers. There are sample student explanations in the feedback to questions 3, 5, 9, and 14 that show the level of detail that is expected in your explanations. Question 8: (4 points) Find the horizontal intercepts, the vertical intercept, the vertical asymptotes, and the horizontal or slant asymptote of the function. Use that information to sketch a graph. 1\"\"):727 Enter the intercepts as points, (a, b). The azinteroept is The yintercept is The eld below accepts a list of numbers or formulas separated by semicolons (egg. 2; 4; 6 or a: + 1; w 1). The order of the list does not matter. Vertiml asymptotes: Horizontal or slant asymptote: y : Select the correct sketch of the function. Question 10: (2 points) Simplify the expression. 5 32 1,024 Enter the exact answer. Hint: You can write roots as fractional exponents, for example 5 {35224 as (-32/1,024)"(1/5). However. the answer to this question is a 1 fraction withoutneeding a root symbol. Question 11: (2 points) Simplify the expression. V108$8 I+ V2738 Enter the exact answer. Hints: . You can write exponents with the " symbol, for example writing 2:8 as x'8 - You can write square roots as sqrt. for example writing v 108 x8 as sqrt(108 x"8) Question 12: (4 points) Use function composition to determine if f (z) and g (:2) are inverse functions. f(:r:) = '3/a:+1 andg(z) =z3 +1 (a) Yes. they are inverse functions. (b) No, they are not inverse functions. Show your work and explain, in your own words, how you arrived at your answers. There are sample student explanations in the feedback to questions 3, 5, 9, and 14 that show the level of detail that is expected in your explanations. Question 13: (2 points) Question 14: (2 points) Find the inverse of the function on the given domain. f(:i:) = (a: 11)2, [11,00) r1 (z) = _ Note: There is a sample student explanation given in the feedback to this question. Question 15: (2 points) Find the inverse of the function. f (11:) = 12 533 Hint: The cube root is the same as an exponent of 1I3, so for '3/19 2;, you oouid type in (19*x)"(1/3). Remember your parentheses! f'1(r) = _ Question 16: (2 points) Find the inverse of the function. m+2 Hm) = m Enclose numerators and denominators in parentheses. For example, (a b) / (1 + n). f'1(:c) = __