answer

13) (6 pts) Let H(x) = 9Vx + 2 -5. Suppose f(x) and g(x) are two functions such that f(o(x)) = H(x). Below are different choices for f(x) and options g(x). For each of the choices for f (x), choose the appropriate expression so that f(@(x)) = H(x). Choose ONE option for each choice of f(x). Choices for f (x) Options for g(x) a] If f (x) = 9Vx - 5, then g(x) = 1. 9Vx+2 b) If f (x) = 9x - 5, then g (x) =_ 2. x+2 () If f (x) = x - 5, then g(x) =. 3. Vx+2 14) (3 pts) Let f (x) and g (x) such that f (g (x)) = x - 3 and g(f(x)) = x + 3. Which of the statements given below is true? Select one answer. O A. f (x) and g (x) are inverses because f(g(x)) = x - 3 and (g(f(x)) = x + 3 cancel each other out (i.e. f (p(x)) and g(f (x)) are inverses of each other]. O B. f (x) and g(x) are not inverses because g (f (:)) and f(g(x)) would both need to be x for f(x) and g(x) to be inverses of each other. O C. f (x) and g (x) are not inverses because f (g (x)) would need to be x + 3 in order for f (x) and g (x) to be inverses of each other. O D. There is not enough information to tell (4 pts) For problems 15) - 16), use the rational function, r(x): (x+4) (x+ 4) r(x) =5xx-5x-10 5(x - 1)(x + 1) 15) Which simpler function has the same end behavior as r(x). Bubble ONE answer choice O y= x 0 y=_ o y=: O y=1 O y = 5x 16) Determine the equation of the horizontal asymptote of r(x). Bubble ONE answer choice. o y=5 o y=i o y=1 0 7=0 O Does not exist