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itsmichelle29

  • one year ago

Given the parent functions f(x) = 3x + 2 and g(x) = 5x − 10, what is g(x) − f(x)? g(x) − f(x) = 5x − 8 − 3x g(x) − f(x) = 5x − 12 − 3x g(x) − f(x) = 3x − 8 − 5x g(x) − f(x) = 3x + 12 − 5x

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  1. jim_thompson5910
    • one year ago
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    \[\Large \color{red}{f(x) = 3x+2}\] \[\Large \color{blue}{g(x) = 5x-10}\] --------------------------------------------- \[\Large \color{blue}{g(x)}-\color{red}{f(x)}=\color{blue}{(5x-10)}-\color{red}{(3x+2)}\] I'll let you finish

  2. itsmichelle29
    • one year ago
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    What next

  3. itsmichelle29
    • one year ago
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    @jim_thompson5910

  4. itsmichelle29
    • one year ago
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    i get =2x−12

  5. itsmichelle29
    • one year ago
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    and that not the answer

  6. jim_thompson5910
    • one year ago
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    look through the choices and see which ones have a "-12" in it for some reason, they didn't combine the x terms, idk why

  7. itsmichelle29
    • one year ago
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    g(x) = 5^x − 10,

  8. jim_thompson5910
    • one year ago
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    oh these are exponentials?

  9. itsmichelle29
    • one year ago
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    5 is to the power of x sorry

  10. jim_thompson5910
    • one year ago
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    I see now

  11. itsmichelle29
    • one year ago
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    3 is not only 5

  12. jim_thompson5910
    • one year ago
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    you cannot do \[\Large 5^x - 3^x = 2^x\]

  13. jim_thompson5910
    • one year ago
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    \[\Large a^x - b^x \ne (a-b)^x\]

  14. itsmichelle29
    • one year ago
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    so whats the answer

  15. jim_thompson5910
    • one year ago
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    you tell me

  16. itsmichelle29
    • one year ago
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    B i think or A

  17. jim_thompson5910
    • one year ago
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    what's your reasoning on each?

  18. itsmichelle29
    • one year ago
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    B for -12 or A for -10+2

  19. jim_thompson5910
    • one year ago
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    but you have to distribute the negative through

  20. jim_thompson5910
    • one year ago
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    \[\Large \color{red}{f(x) = 3^x+2}\] \[\Large \color{blue}{g(x) = 5^x-10}\] --------------------------------------------- \[\Large \color{blue}{g(x)}-\color{red}{f(x)}=\color{blue}{(5^x-10)}-\color{red}{(3^x+2)}\] \[\Large g(x) - f(x) = 5^x - 10 - 3^x - 2\] \[\Large g(x) - f(x) = 5^x - 12 - 3^x\]

  21. jim_thompson5910
    • one year ago
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    notice how \(\Large -( 3^x + 2)\) becomes \(\Large - 3^x - 2\)

  22. itsmichelle29
    • one year ago
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    Oh okayyyy can u help me with one more

  23. jim_thompson5910
    • one year ago
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    ok one more

  24. itsmichelle29
    • one year ago
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    Given the parent functions f(x) = log10 x and g(x) = 3x − 1, what is f(x) • g(x)? f(x) • g(x) = log10 (3x − 1)x f(x) • g(x) = log10 x3x − 1 f(x) • g(x) = 3x log10 x + log10 x f(x) • g(x) = log10 x − 3x log10 x

  25. itsmichelle29
    • one year ago
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    i think its A

  26. itsmichelle29
    • one year ago
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    @jim_thompson5910

  27. jim_thompson5910
    • one year ago
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    can you post a screenshot of this?

  28. itsmichelle29
    • one year ago
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    1 Attachment
  29. itsmichelle29
    • one year ago
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    yeah

  30. itsmichelle29
    • one year ago
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    @jim_thompson5910

  31. jim_thompson5910
    • one year ago
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    none of the answer choices are correct. There's one that's close, but it's off by a negative sign

  32. jim_thompson5910
    • one year ago
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    there has to be a typo somewhere

  33. jim_thompson5910
    • one year ago
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    oh nvm I see the answer

  34. itsmichelle29
    • one year ago
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    pkay thanks anyways

  35. jim_thompson5910
    • one year ago
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    hint: y*log(x) = log(x^y)

  36. itsmichelle29
    • one year ago
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    if fine i turned the tyest in

  37. itsmichelle29
    • one year ago
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    thanks

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