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ChuckNora16

  • 2 years ago

The graph of a function f(x) is as shown. Select the graph of the inverse function.

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  1. ChuckNora16
    • 2 years ago
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  2. ChuckNora16
    • 2 years ago
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  3. ChuckNora16
    • 2 years ago
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    I don't know where to start.

  4. JoãoVitorMC
    • 2 years ago
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    |dw:1351216347183:dw|

  5. ChuckNora16
    • 2 years ago
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    Is that the inverse? (sorry I took a minute to reply)

  6. satellite73
    • 2 years ago
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    take your graph, and reflect it about the line \(y=x\)

  7. ChuckNora16
    • 2 years ago
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    Is that diagonal? Like instead of reflecting across the x or y axis directly?

  8. satellite73
    • 2 years ago
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    draw tool is not working for me (not much here is, actually) so i will try to attach a picture

  9. satellite73
    • 2 years ago
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    but yes, right across the line \(y=x)

  10. ChuckNora16
    • 2 years ago
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    Okay. Thank you for helping me by the way. I really appreciate it.

  11. ChuckNora16
    • 2 years ago
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    So would it look like this graph?

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  12. satellite73
    • 2 years ago
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    here is a graph that looks something like your function http://www.wolframalpha.com/input/?i=1%2Fx%2B5+domain+-5..5

  13. ChuckNora16
    • 2 years ago
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    To get the inverse of the graph, would I flip 1/x to just x + 5?

  14. satellite73
    • 2 years ago
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    here is the graph of the inverse http://www.wolframalpha.com/input/?i=1%2Fx%2B5+domain+-5..5

  15. satellite73
    • 2 years ago
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    oh no!!

  16. satellite73
    • 2 years ago
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    inverse does not mean "reciprocal" that is for numbers inverse means inverse function

  17. ChuckNora16
    • 2 years ago
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    OH! Sorry lol

  18. satellite73
    • 2 years ago
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    so if \(f(x)=\frac{1}{x}+5\) that means a) take the reciprocal b) add 5 inverse is a) subtract 5 b) take the reciprocal i.e. \(f^{-1}(x)=\frac{1}{x-5}\)

  19. satellite73
    • 2 years ago
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    looks like you picked the right one

  20. ChuckNora16
    • 2 years ago
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    Ooh, okay. Well thank you!

  21. satellite73
    • 2 years ago
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    yw

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