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anonymous

  • one year ago

Given the following functions f(x) and g(x), solve for (f ⋅ g)(2) and select the correct answer below: f(x) = 3x2 + 2 g(x) = x − 8 −42 −84 42 84

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  1. anonymous
    • one year ago
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    @iGreen

  2. misty1212
    • one year ago
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    HI!!

  3. anonymous
    • one year ago
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    hi :D

  4. misty1212
    • one year ago
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    \[f(x)=3x^2+2\] right?

  5. anonymous
    • one year ago
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    Yeah

  6. misty1212
    • one year ago
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    ok then ' \[f(2)=3\times 2^2+2\] what is that number?

  7. anonymous
    • one year ago
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    I got 68

  8. misty1212
    • one year ago
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    think you did the "order 'o operations" wrong square first, then multiply

  9. anonymous
    • one year ago
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    How do I square?

  10. iGreen
    • one year ago
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    \(\sf 2^2 \rightarrow 2 \times 2\)

  11. misty1212
    • one year ago
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    how do you square a number? multiply it by itself so \[2^2=2\times 2\]

  12. anonymous
    • one year ago
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    so it'd be f(2)=3×2x2+2?

  13. misty1212
    • one year ago
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    yes what is \[ 3\times 2\times 2+2\]?

  14. anonymous
    • one year ago
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    14

  15. misty1212
    • one year ago
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    right now hold on to that number

  16. anonymous
    • one year ago
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    Alright

  17. misty1212
    • one year ago
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    \[g(x)=x-8\] what is \[g(2)\]?

  18. anonymous
    • one year ago
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    g(2) = x - 8?

  19. misty1212
    • one year ago
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    hmmm i see you are a bit confused as to how to evaluate a function

  20. anonymous
    • one year ago
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    Very :/

  21. misty1212
    • one year ago
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    \[g(x)=x-8\\ g(\spadesuit)=\spadesuit-8\\ g(\xi)=\xi -8\]

  22. misty1212
    • one year ago
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    so how do you find \(g(2)\)? where you see an \(x\) replace it by a \(2\)

  23. anonymous
    • one year ago
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    g(2) = 2 - 8? The other two functions have clovers and & signs in them, not sure if it's meant to be there.

  24. misty1212
    • one year ago
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    yeah\[g(2)=2-8\]

  25. anonymous
    • one year ago
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    So what's the next step?

  26. misty1212
    • one year ago
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    find \[2-8\]

  27. anonymous
    • one year ago
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    -6, if i'm solving from left to right

  28. anonymous
    • one year ago
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    g(2) = -6?

  29. misty1212
    • one year ago
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    yes it is \(-6\) no matter what you do

  30. misty1212
    • one year ago
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    final step \[f\times g(2)=f(2)\times g(2)=14\times (-6)\]

  31. anonymous
    • one year ago
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    so the final answer woulds be -84?

  32. misty1212
    • one year ago
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    yes

  33. anonymous
    • one year ago
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    Thanks :)) Could you help me with a few more?

  34. misty1212
    • one year ago
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    lol sure we can at least do one more

  35. anonymous
    • one year ago
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    Sweet :)

  36. anonymous
    • one year ago
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    Gaming systems are on sale for 20% off the original price (g), which can be expressed with the function p(g) = 0.8g. Local taxes are an additional 12% of the discounted price (p), which can be expressed with the function c(p) = 1.12p. Using this information, which of the following represents the final price of a gaming system with the discount and taxes applied? c(p) + p(g) = 1.92g c[p(g)] = 0.896g g[c(p)] = 1.92p c(p) ⋅ p(g) = 0.896pg

  37. anonymous
    • one year ago
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    This seems like an easy one, it's just the trouble of setting up the function I guess

  38. misty1212
    • one year ago
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    it is easy it is the last one

  39. anonymous
    • one year ago
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    How did you get that?

  40. misty1212
    • one year ago
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    lets do it with an item that cost $100

  41. misty1212
    • one year ago
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    first take the 20% discount, multiply \[100\times .8=80\]

  42. misty1212
    • one year ago
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    so it is $80 before the tax then put in the tax get \[80\times 1.12=89.6\]

  43. misty1212
    • one year ago
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    what did we do? first multiply by \(.8\) then multiply by \(1.12\)

  44. misty1212
    • one year ago
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    ohh hold the phone for a second

  45. misty1212
    • one year ago
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    i see what they want you to say, they want you to pick B

  46. anonymous
    • one year ago
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    Oooh so it's B?

  47. misty1212
    • one year ago
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    first do \(p\) then do \(c\) it is \[c(p(g))\]

  48. misty1212
    • one year ago
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    which is kind of silly since you can do it just by multiplying, but whatever pick B

  49. anonymous
    • one year ago
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    Alright that's what I was thinking too haha, thank you. Couple more :D?

  50. anonymous
    • one year ago
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    Or would you rather me open a new question to give you another best response?

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