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anonymous

  • one year ago

What are the discontinuities of the function f(x) = the quantity x squared minus 16 over the quantity 4x plus 24?

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  1. LynFran
    • one year ago
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    set the denominator= to 0 and solve for x 4x+24=0

  2. anonymous
    • one year ago
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    SO subtract 24 from each side?

  3. LynFran
    • one year ago
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    correct then what?

  4. LynFran
    • one year ago
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    so we have 4x=-24 ...what do we do next...?

  5. anonymous
    • one year ago
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    factor 4(x+6)

  6. LynFran
    • one year ago
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    |dw:1437108766146:dw|

  7. anonymous
    • one year ago
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    -6

  8. LynFran
    • one year ago
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    correct...so when x=-6 the function is discontinuous ok

  9. anonymous
    • one year ago
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    ok:)

  10. anonymous
    • one year ago
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    Will you help with one more?

  11. anonymous
    • one year ago
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    Also, thank-you!

  12. LynFran
    • one year ago
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    ok

  13. anonymous
    • one year ago
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    What is the least common denominator of the fraction 3 x over x plus 1 plus the fraction x plus 1 over 2 x plus the fraction 5 over x?

  14. anonymous
    • one year ago
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    |dw:1437101977039:dw|

  15. LynFran
    • one year ago
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    Here are the steps to follow: Find the Least Common Multiple of the denominators (which is called the Least Common Denominator). Change each fraction (using equivalent fractions) to make their denominators the same as the least common denominator. Then add (or subtract) the fractions, as you wish!

  16. anonymous
    • one year ago
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    Ok so the LCD is 2(x^2+1)?

  17. anonymous
    • one year ago
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    yes?

  18. LynFran
    • one year ago
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    no 1

  19. anonymous
    • one year ago
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    okay thanks

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