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anonymous

  • one year ago

Find gof if f(x) = x + 7 and g(x) = 3x - 2. Answers: 3x + 5 3x - 5 3x + 19 -3x - 19

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    @Vocaloid

  3. Vocaloid
    • one year ago
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    g o f means g(f(x)) so, substitute f(x) for x in g(x) g(f(x)) = 3(f(x)) - 2 = 3(x+7) - 2

  4. Vocaloid
    • one year ago
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    expand that out and you'll have your answer

  5. anonymous
    • one year ago
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    @Vocaloid This is my first time doing this and I'm still kind of confused

  6. Vocaloid
    • one year ago
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    |dw:1443493667157:dw|

  7. Vocaloid
    • one year ago
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    is that more clear?

  8. anonymous
    • one year ago
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    If there are too many x's for you, try 3a-2 a= (x+7) now put (x+7) where a is

  9. anonymous
    • one year ago
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    Okay, so what do I do next?

  10. anonymous
    • one year ago
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    @Vocaloid @mthompson440

  11. Vocaloid
    • one year ago
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    3(f(x)) - 2 = 3(x+7) - 2 = ?

  12. anonymous
    • one year ago
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    I'm not sure what's next

  13. anonymous
    • one year ago
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    @Vocaloid @mthompson440

  14. Vocaloid
    • one year ago
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    distribute the 3 A(B+C) = A*B + A*C 3(x + 7) = ?

  15. anonymous
    • one year ago
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    @Vocaloid So I would multiply x and 7 by 3, right?

  16. anonymous
    • one year ago
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    yes

  17. anonymous
    • one year ago
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    So I would get 3 and 21. Now what?

  18. anonymous
    • one year ago
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    if you multiply 3 time x what do you get?

  19. anonymous
    • one year ago
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    3, right?

  20. anonymous
    • one year ago
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    what happened to the x?

  21. anonymous
    • one year ago
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    3x?

  22. anonymous
    • one year ago
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    yes, 3x.

  23. anonymous
    • one year ago
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    so what else does the problem now say after 3x?

  24. anonymous
    • one year ago
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    so now I have 3(3x + 21)-2

  25. anonymous
    • one year ago
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    If I multiply 2(4-3) does the two still stay in the picture?

  26. anonymous
    • one year ago
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    no?

  27. anonymous
    • one year ago
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    2*4= 8 or 2*4= 2(8)?

  28. anonymous
    • one year ago
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    the first one?

  29. anonymous
    • one year ago
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    So apply that to the problem 3(x + 7) =

  30. anonymous
    • one year ago
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    so it would be (3x + 21) -2

  31. anonymous
    • one year ago
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    Yes, good job. now combine like terms

  32. anonymous
    • one year ago
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    What do you mean?

  33. anonymous
    • one year ago
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    I'm sorry. This is my first time doing this.

  34. anonymous
    • one year ago
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    Two things look like the other, one of the things is different. Which two are similar, and which one is different?

  35. anonymous
    • one year ago
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    3 and 21 are both positive. Is that it?

  36. anonymous
    • one year ago
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    Wait no. Its 21 and -2 because its 3x not 3

  37. anonymous
    • one year ago
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    There you go

  38. anonymous
    • one year ago
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    so is my answer 3x + 19?

  39. anonymous
    • one year ago
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    So which two can you combine (add or subtract)?

  40. anonymous
    • one year ago
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    Yes, good job

  41. anonymous
    • one year ago
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    Thank you so much!

  42. anonymous
    • one year ago
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    ok

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