Review for Large Quiz on Funct'ion Operations and Composition of Functions

.r>; Name .l!e.l.1--'---Evaluate.

1. Ifg(x) = ~x+IZ,find)(-10) ~()O)+12 = 3~ +12. =: rHZ.::(ji)

3. If g(x) = 5x' + lZ,find g(4) 5C if).;). + }a. ==5(1(0) + 10l. = Wt-IOl =@4. Ifh(x)= 14-5

13X+C1Sindh(-Z) JLj.- 5 /3h~}t-11 ~jL/- 51-:-lotll_ ,J )-II 14 5 }-61 -I.,-Ei..5

. . ~ )Lj--25

5. If g(x) = 3X',+6X,findg(3) 3C3Y'+ 10(3) = 3(q)+ IB '" 1+18 =000\ 02- OJ.. ~

~6. If hex) = 3x,find h( -4)1 J JJ-' =: BI

IPerform the indicated operation.

7. If f(x) = -3x2 and hex) = 3x2 + 8,find (f - h)(2)

---3Xc;J. - 3X~- ~ .z: -fox~- 8 = -lo(~)~ -8 .z: - It 4-) -5 ==-lif-B~

8. If f(x) = 13x + 41 findl2f( -5) . .

eX 1.3)(+4J1= ;lJ 3(-5) +tf~ '" ~) ·-15+1 == ~~I c:/(JI)

1(' If f(x) = X4 and hex) = x - 6,find (f· h)(-3)

X'f(x-to) z: )(?- W X + = (-3)>=l -Io( -3) +@10. If f(x) = 3x - 4 and g(x) = 2x + 2,find f(g(4))

3 (OlX+J.) -if = loX +10 -+ = /tJX+~ -7 10(1+)+c1{:ftoj11. If f(x) = -2x + 4 and hex) = ~x + 4,Jind h(f(12))

- c1 (I do) +4- :=- -0(4-+4 ~ -d, [)•

~~~~~~~12. If g(x) = -12x2 + 5 and hex) = 5x + 3,find h(g(.S))

.~ rBI'-";-~~". ~M~~' .~,,~, ~2jf:·.~5~-)~2.+~. S~· ~~3~+~';-....:;(

. . (. ) -=::C(J.\+3 ~13. If f(x) = 5x + 7 and!Jx) = 3x + 5,find f(b( -5)) h ~ ) ~

3(-'5J'+S- :::-/S+5' =--JO .5(-/0)t-/ = -5D+7 =@

14. If g(x) = ~x + 6 and hex) = ~x - 2,find (g + h) (x)5 3

d. X+0 +_1 x-~ := -=-5 2> __ IJ .. :1)

~ X +10 +fuX -~ =/3)( -t- /15. If f(x) = 5x2 - 13x + 6 and g(x) = 8x2 + 3x + 2,find (g - f)(x)

£6x.2+ 3~(+L~'-5X~'+ 13X-0@,,) +llox =£)16. If g(x) = 3x2 + 3 and hex) = -2x + 4,find (g . h) (x)

(3X2+3) (-2X+4-) _ .. 3 i . ,;} ~

-loX3 -(oX .~ J ax ~+-l~ - -loX -+ I~X -lo~Solve.

I17. Is g(x) = ~x - 2 the inverse of f(x) = 3x + 67 Show work to justify you answer

. ~ C3X+b)-~X+t9--d.=X ~es,

18. Is g(x) = ~x - 6 the inverse of f(x) = 5x - 3D? Show work to justify Y01Jlranswer

~ [5x-06)-1o'Xv·-to -0 hO

~'- I;;} .