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brodybarnes35

  • one year ago

Given the functions f(x) = 7x + 13 and g(x) = x + 2, which of the following functions represents f[g(x)] correctly? f[g(x)] = 7x + 15 f[g(x)] = 7x + 27 f[g(x)] = 7x2 + 15 f[g(x)] = 7x2 + 27

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  1. brodybarnes35
    • one year ago
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    @Hero @stacy.reed08

  2. anonymous
    • one year ago
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    ok, same thing as the last one :)

  3. brodybarnes35
    • one year ago
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    ok so im guessing C!!??

  4. brodybarnes35
    • one year ago
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    add like terms

  5. anonymous
    • one year ago
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    don't guess, plug it in and work through one step at a time...

  6. brodybarnes35
    • one year ago
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    no i did lol

  7. anonymous
    • one year ago
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    g(x)=x+2 so you plug in (x+2) for x in f(x)...what would that look like before you distribute it out and combine like terms?

  8. brodybarnes35
    • one year ago
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    7x + 13

  9. brodybarnes35
    • one year ago
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    7x

  10. anonymous
    • one year ago
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    that's f(x)...take a step back...what would you do if it told you to evaluate f(x) for x=3?

  11. brodybarnes35
    • one year ago
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    oh 21

  12. brodybarnes35
    • one year ago
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    7(3)

  13. anonymous
    • one year ago
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    perfect! you'd plug it in! but here's the thing...you don't have a value for x. you have (x+2), but it still works the same way. You plug it in to f(x) so you get 7(x+2)+13

  14. anonymous
    • one year ago
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    so now's the time to use the distributive property and multiply it out.

  15. brodybarnes35
    • one year ago
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    oh ok so its D right i multiplied

  16. brodybarnes35
    • one year ago
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    i distributed not multiplied

  17. anonymous
    • one year ago
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    go back :) I know it can be frustrating, but you can totally get this!

  18. brodybarnes35
    • one year ago
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    yikes i thought i got it right ://

  19. anonymous
    • one year ago
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    do 7 times x and then 7 times 2

  20. brodybarnes35
    • one year ago
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    7x and 14

  21. anonymous
    • one year ago
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    bingo! so now put it all back together...7x+14+13

  22. brodybarnes35
    • one year ago
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    7x + 27!!

  23. anonymous
    • one year ago
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    which is what answer choice?

  24. brodybarnes35
    • one year ago
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    So B!

  25. anonymous
    • one year ago
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    there it is! great work!

  26. brodybarnes35
    • one year ago
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    You're an amazing teacher thank you so much!!! :D

  27. anonymous
    • one year ago
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    You are oh so welcome! Thank YOU for not giving up!

  28. brodybarnes35
    • one year ago
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    ill make sure to tag your from now on when i have a question thanks so much!! Have a wonderful day ma'am :))))

  29. anonymous
    • one year ago
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    :) have a great evening!

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