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anonymous

  • one year ago

Please Help with Pre-Calc Questions anybody please...? For each of the following functions, identify any restrictions on its domain. 5. F(x) = cubroot of (x-2) +3 6. F(x)=log(x-5)+1 7.e^(x+4)+7 Is there any value of x that would cause this function to be undefined? If there are restrictions on the domain, explain those restrictions. If there are no restrictions, explain why that is.

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  1. freckles
    • one year ago
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    well can you do cuberoot of any real number? for example do you know the cuberoot(-1)=? or the cuberoot(0)=? or the cuberoot(1)=?

  2. anonymous
    • one year ago
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    wouldn't it be -1?

  3. freckles
    • one year ago
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    yes so you can do cuberoot(-1)=-1 so you can do cuberoot of negative numbers or even 0 or positive numbers right?

  4. freckles
    • one year ago
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    The cuberoot function is defined everywhere.

  5. freckles
    • one year ago
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    what about log can you do log(0) or log(-1)?

  6. anonymous
    • one year ago
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    right

  7. anonymous
    • one year ago
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    it would be undef?

  8. freckles
    • one year ago
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    so you know you do log(positive) only

  9. freckles
    • one year ago
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    so you will have restrictions for the log function you have above

  10. anonymous
    • one year ago
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    yes

  11. freckles
    • one year ago
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    you want x-5 to be positive

  12. freckles
    • one year ago
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    therefore you want x-5 greater than 0 so just solve x-5>0

  13. anonymous
    • one year ago
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    so for the firs question i just say that it is undef at log(-1) and log(0)?

  14. freckles
    • one year ago
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    well it is undefined when the inside is negative or zero so if you are looking where it is undefined instead of define just negate x-5>0 and you have x-5<=0

  15. anonymous
    • one year ago
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    ? how would i answer the first question?im confused

  16. freckles
    • one year ago
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    I thought we already said yes to that question because you cannot do log(negative or zero number)

  17. freckles
    • one year ago
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    we can do log(positive number) x-5 is positive when it is greater than 0 so you can find x such that x-5>0 by solving the inequality

  18. anonymous
    • one year ago
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    srry i thought your most recent post was about the first question..

  19. freckles
    • one year ago
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    I'm confused.

  20. freckles
    • one year ago
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    I thought the first question is it undefined anywhere

  21. anonymous
    • one year ago
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    just continue i understand now

  22. anonymous
    • one year ago
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    hello?

  23. freckles
    • one year ago
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    hi

  24. freckles
    • one year ago
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    do you have any questions?

  25. anonymous
    • one year ago
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    there u are

  26. anonymous
    • one year ago
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    yes can u help me with the rest of them?

  27. freckles
    • one year ago
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    Do you know anything about e^x?

  28. freckles
    • one year ago
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    Do you know of any restrictions ?

  29. freckles
    • one year ago
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    for example does e^(-7) or e^(0) or e^(8) exist?

  30. freckles
    • one year ago
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    can you raise positive numbers to a negative,0, or positive power?

  31. anonymous
    • one year ago
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    srry i type slow

  32. anonymous
    • one year ago
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    yes it comes out a decimal

  33. freckles
    • one year ago
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    ok e^x exists everywhere

  34. freckles
    • one year ago
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    you can also look at a visual and see this too

  35. anonymous
    • one year ago
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    ok

  36. freckles
    • one year ago
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    so only one of the functions you listed has restrictions (or some place where it is not defined) over the real numbers

  37. anonymous
    • one year ago
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    ok thank u i appreciate it

  38. freckles
    • one year ago
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    so you did understand cuberoot and exponential functions exist everywhere over the real numbers and has domain all real numbers but log functions do have restrictions over the real number because you can only do log(positive numbers)

  39. anonymous
    • one year ago
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    yes

  40. anonymous
    • one year ago
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    now i do thank u

  41. freckles
    • one year ago
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    np

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