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PART ONE [4 pts each] 3n)? Sketch each graph. You may not use a graphing calculaIOr. 3p) fq 1. f(.r) =2(x3)' 5 Vs 2x+4 10. Find the inverse of f (x) = 4 2 12. 3. Find the inverse of f (x) = 3 X PART THREE [36 total pts] 13. Given that f(x) = 2x + 3 and 8(x) = x2 -9 find 14. Given f(x) and g(x) find... f (x) 8 (x ) a. (f+ 8)(x) b. (f - 8)(n+1) 4 c. (f8)(-2) a. (f + 8)(1) b. (f - 8) (- 2 ) d. (f/8)(x) c. (8/ f)(3) d. (f8) (-1) e. The domain of (f / 8)(x) e. (fog)(0) f . ( f of ) ( - 3 ) 15. Given that f(x) = Vx and 8(x) = x2 -3x find 16. Given that f (x) = 2x +4 and 8(x) = 2 a. (fog ) (x ) a. (f-108-1) (2 ) b. (80 f ) (x) b. (8 108-1 ) (1) c. The domain of (f . g)(x) C. ( 8-1of -' ) ( x ) d. (f.8 )" (x ) PART FOUR [8 pts each] 17. It is much more difficult to stop a car traveling at high speeds. The distance in feet a car travels during the driver's reaction time is expressed by f (x) =-x The distance in feet a car travels while braking is expressed by g(x) = x. Let x represent the speed of the car in miles per hour. OS x 5 60. y max: a. Graph f(x), 8(x) and (f + 8)(x) in the same viewing window. b. What does (f + 8)(x) represent? y min: c. How many total feet will a car traveling 45 m.p.h. go before stopping? x min: x max: d. How many total feet will a car traveling 60 m.p.h. go before stopping? 18. A sales associate at department store earns a salary of $500 per week plus a 7% commission. His earnings can be expressed by the function E(x) = 500 +.07 x in which x represents total sales. a. Find the inverse of E(x). b. The function E(x) represents the total earnings. What does E"(x) represent? c. How much sales would be required to earn a salary of $1 100 in a week? d. What would the earnings be for a total of $6000 in sales