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0214

  • 2 years ago

If f(x) = x − 4 and g(x) = 1 over 2x − 2, find f[g(−6)].

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  1. bahrom7893
    • 2 years ago
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    g(-6) = 1/(2*(-6)-2) = 1/(-12-2) = -1/14

  2. bahrom7893
    • 2 years ago
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    f [g(-6)] = f [ -1/14] = (-1/14) - 4

  3. 0214
    • 2 years ago
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    -4 isnt an option.

  4. 0214
    • 2 years ago
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    9 3 −9 −3

  5. bahrom7893
    • 2 years ago
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    Well did I say 4 is the answer? whatever -1/14 - 4 is.. wait

  6. bahrom7893
    • 2 years ago
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    By the way is it: |dw:1352646754665:dw|

  7. 0214
    • 2 years ago
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    first one

  8. bahrom7893
    • 2 years ago
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    oh, then scratch what i did before, and use parenthesis when you post the question

  9. bahrom7893
    • 2 years ago
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    f(g(-6)) = 1/[2*(-6)] - 2 = (-1/12) - 2 = (-1/12) + (-24/12) = -25/12

  10. bahrom7893
    • 2 years ago
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    wait that's just g(-6)

  11. bahrom7893
    • 2 years ago
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    now: f(g(-6)) = f(-25/12) = -25/12 - 4 = (-25 - 48)/12 = -73/12... i don't see where i'm going wrong.

  12. bahrom7893
    • 2 years ago
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    @UnkleRhaukus can u go over this real quick?

  13. UnkleRhaukus
    • 2 years ago
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    all of it?

  14. bahrom7893
    • 2 years ago
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    lol i guess u can just solve the question, i don't see what i did wrong, because i am not getting any of his options

  15. 0214
    • 2 years ago
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    i sent them to you

  16. 0214
    • 2 years ago
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    9 3 −9 −3

  17. bahrom7893
    • 2 years ago
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    like i said, im not getting any of the options......

  18. UnkleRhaukus
    • 2 years ago
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    \[g(x)=\frac1{2x}−2\] \[g(−6)=\frac1{2(-6)}−2=-\frac{1}{12}-2=\frac{-36}{12}=\color\gray{-3}\]

  19. bahrom7893
    • 2 years ago
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    unkle.... are you sure you added those right?

  20. UnkleRhaukus
    • 2 years ago
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    hmm, no

  21. UnkleRhaukus
    • 2 years ago
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    \[g(−6)=\frac1{2(-6)}−2=-\frac{1}{12}-\frac{24}{12}=\frac{-25}{12}\]

  22. UnkleRhaukus
    • 2 years ago
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    \[f(-25/12)=-\frac{25}{12}-4=-\frac{25}{12}-\frac{48}{12}=-\frac{25+48}{12}\color\grey=\color{white}{\frac{-73}{12}}\]

  23. UnkleRhaukus
    • 2 years ago
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    im getting what you are getting now bahrom

  24. 0214
    • 2 years ago
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    how about this one If f(x) = −2x − 4 and g(x) = x + 4, find (f over g)(−8).

  25. 0214
    • 2 years ago
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    options are −3 3 −1 1

  26. UnkleRhaukus
    • 2 years ago
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    what do you mean by 'over'

  27. UnkleRhaukus
    • 2 years ago
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    do you mean \(f\circ g\)

  28. 0214
    • 2 years ago
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    f/g

  29. UnkleRhaukus
    • 2 years ago
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    f(x) = −2x − 4 g(x) = x + 4 (f / g)(x) = ( −2x − 4 ) / ( x + 4) (f / g)(−8) = ( −2(-8) − 4 ) / ( (-8) + 4)

  30. 0214
    • 2 years ago
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    wats the answer

  31. 0214
    • 2 years ago
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    ??

  32. UnkleRhaukus
    • 2 years ago
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    ( −2(-8) − 4 ) / ( (-8) + 4) =( 16 − 4 ) / ( -4) =

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