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L(x) = -5x – 2

R(x) = x 2 – 6x + 7. L(x) = -5x – 2. =L( R(3 ) ) = L( 3 2 – 6(3) + 7 ) = L(-2) = -5 (-2) – 2= 8. L o R(3). =R( -5(2 ) – 2) = R(-12) = (-12) 2 – 6(-12) + 7 = 223. R(L(2)). L(R(x ) = L(x 2 – 6x + 7) = -5(x 2 – 6x + 7) - 2 = -5x 2 + 30x – 35 -2

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L(x) = -5x – 2

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  1. R(x) = x2 – 6x + 7 L(x) = -5x – 2 =L(R(3) ) = L(32 – 6(3) + 7) = L(-2) = -5(-2) – 2= 8 L o R(3) =R( -5(2) – 2) = R(-12) = (-12)2 – 6(-12) + 7 = 223 R(L(2)) L(R(x) = L(x2 – 6x + 7) = -5(x2– 6x + 7) - 2 = -5x2 + 30x – 35 -2 = -5x2 + 30x - 37 Lo R(x)

  2. Number System

  3. Number System 2 Video Clips • https://www.youtube.com/watch?v=m94WTZP14SA&list=HL1378814196&feature=mh_lolz https://www.youtube.com/watch?v=KKfoORhiSA0&list=HL1378814196

  4. Number System Element of (Belongs to) R Doesn’t Belong to Q Z N W Any rational number can be written as A/B if B isn’t 0 I

  5. Which group of numbers does -4 belong to? Integers (Z), Rational (Q), Real (R) R Which group of numbers does -4 not belong to? Q Z N Natural (N), Whole (W), Irrational (I) W What is the most number of groups that a number can belong to? I 5

  6. Most types of numbers are CLOSED under addition and multiplication meaning that you can add/multiply them and get the same system. Always true Example: Whole number + Whole number = Whole Number Real * Real = Real Counterexample: Sometimes true Real and rational Division isn’t closed except for __________ numbers Counterexample: 5/6 isn’t an integer!

  7. Let A B be defined as: 3A2 – B. Find 1 5 -4 -2 2/3 -4 2x x + 3 3(1)2 – 5 = 3 – 5 = -2 3(-4)2 – 2 = 3(16) – 5 = 46 3(2/3)2 – (-4) = 3(4/9) + 4 = 4/3 + 4 =4/3+12/3 = 16/3 3(2x)2 – (x+3) = 3(4x2) – (x+3) =12x2 – x - 3 Let C E be defined as C – 3E. Find 4 -5 4 – 3(-5) = 19

  8. Domain: -1 < x < 9 or [-1, 9] 3x2 -1<x< 3 15 3<x< 6 6<x< 9 5-x f(8) F(4.5) F(1/2) F(10) F(6) 5 – 8 = -3 15 3(1/2)2 = 3 (1/4) = 3/4 Does Not Exist (DNE) 15

  9. 1000t 0 < t < 14 14000 14< t < 16 H(t) = 14000-7000(t-16) 16< t < 17 70000-500(t-17) 17< t < 31 t is the time in minutes and H(t) is the height in feet What is the domain? Find H(15) Find H(30.99) Find H(13)

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