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missashleyn

  • 3 years ago

Someone please help? Let f(x) = x2 – 16. Find f–1(x).

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  1. missashleyn
    • 3 years ago
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  2. amistre64
    • 3 years ago
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    if we solve the problem: y = x^2 - 16; for x, what does it look like?

  3. amistre64
    • 3 years ago
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    and technically, there is no inverse function stated in the choices :/

  4. missashleyn
    • 3 years ago
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    I have no idea :(

  5. amistre64
    • 3 years ago
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    we need to remember how to manipulate equation around to solve for a particular variable: y = x^2 - 16 this can be algebrated about to solve for x

  6. missashleyn
    • 3 years ago
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    What would I do first?

  7. amistre64
    • 3 years ago
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    would you agree that we can subtract 16 from each side to start to get x all alone?

  8. amistre64
    • 3 years ago
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    err, add 16 to each side that is

  9. missashleyn
    • 3 years ago
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    Yes so it would be y = x^2/16? So C?

  10. amistre64
    • 3 years ago
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    y = x^2 - 16 +16 +16 ---------------- y+16 = x^2 its not C, I havent gotten to the end results yet .....

  11. amistre64
    • 3 years ago
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    do you know how we can get the "^2" off the x?

  12. missashleyn
    • 3 years ago
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    Multiply it?

  13. amistre64
    • 3 years ago
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    good attempt, but lets try to take the square root, or sqrt it sqrt(y+16) = sqrt(x^2) sqrt(y+16) = x this is the general construct of our inverse function we are looking for, but they like to then swap xs and ys

  14. missashleyn
    • 3 years ago
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    Ohhhhh so it's B then?

  15. amistre64
    • 3 years ago
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    B seems the most reasonable answer to me :)

  16. missashleyn
    • 3 years ago
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    Okay thank you! I have one more like this, could you help me with it too?

  17. amistre64
    • 3 years ago
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    i can take a look at it sure

  18. missashleyn
    • 3 years ago
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    Let f(x) = 5x + 12. Find f–1(x).

  19. amistre64
    • 3 years ago
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    lets try the same process, but this one is simpler since we aint got to sqrt nothing y = 5x + 12 how do we solve for x so that x is all alone on one side of the equation?

  20. missashleyn
    • 3 years ago
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    - 12 from each side y = 5x + 12 - 12 - 12 y - 12 = 5x

  21. amistre64
    • 3 years ago
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    so far so good, now to uncover the x, we should divide off that pesky looking 5 right?

  22. missashleyn
    • 3 years ago
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    Yes so.. y - 12 = 5x ---------- 5 y - 12/5 = x

  23. missashleyn
    • 3 years ago
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    I think I'm confusing myself

  24. amistre64
    • 3 years ago
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    you did fine, lets just make sure its looks "proper" :) \[\frac{y-12}{5}=x\]

  25. missashleyn
    • 3 years ago
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    Okay the closest choice I have to that is |dw:1360095933270:dw|

  26. amistre64
    • 3 years ago
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    that will work fine ;)

  27. amistre64
    • 3 years ago
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    good luck

  28. missashleyn
    • 3 years ago
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    Okay awesome, thank you!! :)

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