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anonymous

  • one year ago

Will METAL!! Find the inverse of the function. f(x) = the cube root of quantity x divided by seven. - 9 f-1(x) = 21(x + 9) f-1(x) = [7(x + 9)]3 f-1(x) = 7(x3 + 9) f-1(x) = 7(x + 9)3

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  1. anonymous
    • one year ago
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    |dw:1443800798823:dw|

  2. Nnesha
    • one year ago
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    f(x) is same as y so first replace f(x) with y \[\huge\rm \color{ReD}{y}=\sqrt[3]{\frac{\color{blue}{ x} }{ 7} } -9\] to find inverse `switch x and y` then solve for y

  3. welshfella
    • one year ago
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    isolate the cube root and cube both sides of the equation

  4. anonymous
    • one year ago
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    so how would I do that @Nnesha

  5. Nnesha
    • one year ago
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    `switch x and y` replace x with y and y with x

  6. anonymous
    • one year ago
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    |dw:1443801089795:dw|

  7. Nnesha
    • one year ago
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    looks good now first move -9 to the left and then take cube both sides to cancel out the cube root

  8. anonymous
    • one year ago
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    x + 9 |dw:1443801233219:dw|

  9. Jhannybean
    • one year ago
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    \[\checkmark\]

  10. anonymous
    • one year ago
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    what do I do know?

  11. Jhannybean
    • one year ago
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    \(\color{#0cbb34}{\text{Originally Posted by}}\) @Nnesha looks good now first move -9 to the left and then `take cube both sides to cancel out the cube root` \(\color{#0cbb34}{\text{End of Quote}}\)

  12. Nnesha
    • one year ago
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    take cube both sides to cancel out the cube root just like we take square to cancel out the square root \[\large\rm \sqrt[4]{x} = (\sqrt[4]{x})^4 = (x^\frac{ 1 }{ \cancel{4} })^\cancel{4}=x\]example

  13. Nnesha
    • one year ago
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    cube not cube root to cancel out the cube then we should take cube root

  14. Nnesha
    • one year ago
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    look at the example above^

  15. anonymous
    • one year ago
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    |dw:1443801529555:dw|

  16. Nnesha
    • one year ago
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    yes right but we should take cube `both ` sides |dw:1443801794531:dw| what would be the next step ?

  17. anonymous
    • one year ago
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    would it be x+3

  18. Nnesha
    • one year ago
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    to get rid of the fraction at right side what would you do ?

  19. Nnesha
    • one year ago
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    x+3 ?

  20. anonymous
    • one year ago
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    Idk would you move y to the other side.

  21. Nnesha
    • one year ago
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    we need y itself at right side so move 7 to the left side

  22. Nnesha
    • one year ago
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    7**

  23. anonymous
    • one year ago
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    |dw:1443802394930:dw|

  24. Nnesha
    • one year ago
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    -7 ??

  25. Nnesha
    • one year ago
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    is that a negative sign ?

  26. anonymous
    • one year ago
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    |dw:1443802476561:dw|

  27. Nnesha
    • one year ago
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    to cancel out the 7 at right side we should multiply both sides by 7|dw:1443802496552:dw| that's how it's 7 times (x+9)^3

  28. Nnesha
    • one year ago
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    it's (x+9)^3 like i said we should take cube `both sides `

  29. anonymous
    • one year ago
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    Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = (x - 14)2 - 9 Shift the graph of y = x2 right 14 units and then up 9 units. Shift the graph of y = x2 down 14 units and then left 9 units. Shift the graph of y = x2 right 14 units and then down 9 units. Shift the graph of y = x2 left 14 units and then down 9 units.

  30. anonymous
    • one year ago
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    Do you have a graphing calculator? @Nnesha

  31. Nnesha
    • one year ago
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    f(x-h)= horizontal shift ( if h is negative shift some units to the right , if h is positive shift h units to the left ) f(x) + k =vertical shift ( positive k shift up , if k is negative shift k units down)

  32. Nnesha
    • one year ago
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    yes

  33. anonymous
    • one year ago
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    So would it be answer choice the last one then right?

  34. Nnesha
    • one year ago
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    you don't need calculator for this question .

  35. anonymous
    • one year ago
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    y = (x - 14)2 - 9 because -9 is and (x-14)^2 is negative as well.

  36. anonymous
    • one year ago
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    *negative

  37. Nnesha
    • one year ago
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    no h =-14 so read what i said above

  38. anonymous
    • one year ago
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    oh ok so it's our third option.

  39. Nnesha
    • one year ago
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    right if h is negative then shift right if it's positive then left shift

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