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anonymous

  • one year ago

given that (5,4) is on the graph of f(x) find the corresponding point for the function f(-1/3x)

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  1. anonymous
    • one year ago
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    \[f \left(-\frac{ 1 }{ 3 } x\right)\]

  2. anonymous
    • one year ago
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    please help I really do not understand this at all

  3. zepdrix
    • one year ago
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    If (5,4) is on the graph... then the function f(x) evaluated at x=5, will give us an output of 4.

  4. zepdrix
    • one year ago
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    Meaning, f(5)=4

  5. zepdrix
    • one year ago
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    Hmmm what can we do with that :d Sec, trying to understand the question.

  6. zepdrix
    • one year ago
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    @campbell_st @peachpi

  7. anonymous
    • one year ago
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    F(-1/3x) The -1/3 will multiply our x values by -3.. Does that make sense?

  8. anonymous
    • one year ago
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    I think so, you multiply 5 and 4 by -3?

  9. anonymous
    • one year ago
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    so to get (5.4) in this new equation you'd need.. F(-1/3x) x=-15 No your y does not change only how fast or slow it takes for the graph to reach that point

  10. anonymous
    • one year ago
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    if it was 3f(-1/3x) then we would multiply our "y" 3 times and our x by -3

  11. anonymous
    • one year ago
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    okay now I'm confused

  12. zepdrix
    • one year ago
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    oh is that what they wanted? Hmm wording was really confusing :U

  13. anonymous
    • one year ago
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    All I know is I'm supposed to enter an ordered pair and x is supposed to stay the same

  14. anonymous
    • one year ago
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    Suppose, F(x) = 3x F(5) = 3(5) F(5)= 15 (5,15)

  15. anonymous
    • one year ago
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    Now we have F(-1/3x) what would be the corresponding point for the function

  16. anonymous
    • one year ago
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    I'm not sure

  17. anonymous
    • one year ago
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    so we know when x=5 then we have 15

  18. anonymous
    • one year ago
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    f(-1/3x) = F(5) -1/3x =5 x=-15

  19. anonymous
    • one year ago
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    so that's it?

  20. anonymous
    • one year ago
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    so on our second equation we know if x is -15 we have f(5) = y

  21. anonymous
    • one year ago
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    F(-1/3*-15) F(5) =4

  22. anonymous
    • one year ago
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    makes sense?

  23. anonymous
    • one year ago
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    its just your x changing not y

  24. anonymous
    • one year ago
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    okay so 5 stays the same, what happens to y?

  25. anonymous
    • one year ago
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    So we have a point (5,4)

  26. anonymous
    • one year ago
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    5,4 is the original points given, I didn't even think it was possible that the answer would literally be in the question

  27. anonymous
    • one year ago
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    this can be rewritten as f(5)= 4 F(x) we have this new equation which is the same general shape but it has f(-1/3)

  28. anonymous
    • one year ago
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    F(-1/3x)

  29. anonymous
    • one year ago
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    (|dw:1436663494341:dw|

  30. anonymous
    • one year ago
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    so the answer is 5,4

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