Composite Functions Worksheet with Answers, Exercises of Algebra

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KEY Name: Date:_ Period: COMPOSITE FUNCTION WORKSHEET * Directions: Show all work for credit. Work must be neat and answer must be circled. For 1- 9: Let f@) =2x—1, g(x) =3x, and h(x) = x’+ 1. Compute the following: | 1. f(g(-3)) 2. fh), 3. (g2h)(24) gest 8C2)= 4 was aie 4441250 Wlaa)= C24d*e | = 826412 877 | Gaye aGaj-la{—la] *Ga)= 260)-I =[94] gSi)= 36717) >| 73) 4. f(g(h@))) 5. h(g(f(5))) 6. g(f(h(-6))) h@)= (2) 74) =4e)2S R(s)2 2 -1= Wd 7 nce): Coy rls 36t1s 27 gS)= 3C5)= 15 a= 200) = 27 $037) = 267)-1= TH-1s 73 2 “753 etis)= 205)- 1 =[ 23] n@a)= Wye = 72441 [780] g9(73)= 3072)=] 219 7x41) 9.h( x—2) Pipers SGH07| ntx-2)= & 2) 4 i “dx 42> | - a = e-2XK-2) +1 (2x4 ] = ytlen- ex tht | =| 4% bye S { i For 10-11: Let f(x) = -3x + 7 and g(x) = 2x? - 8. Compute the following: ow Sm 10. {(g@)) = - I (gfx) = 2+ - 8 -— Brrr? TAC exrPanr a - 8 mre 31\ = 2a" ~ gy ae eh) — B = = 2 Car® —4exK +49) -2% = 1 ex? ~ BK £98 = 8 & “[Ite* = em + 90} o If f(x)=3x—-5 and g(x)=x’, B If f(x)=-9x-9 and g(x)=vx—9, find (Foa}d) * find (fe ge) QC3)= C2)" =4 atta) = ro~ =) =yvl=a \ rads 3¢a)- 5 = [22] PO) = -90j-49= 7-9-4 2| 18)