Find a rational function that satisfies the given conditions. Answers may vary, but try to give the simplest answer possible: V

Question

Find a rational function that satisfies the given conditions. Answers may vary, but try to give the simplest answer possible:

Vertical asymptotes x = -4, x = 5;

x-intercept (-2, 0)

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Jezebel 4 years 2021-08-22T17:19:12+00:00 1 Answers 16 views 0

Answers ( )

  1. thongdat2
    0
    2021-08-22T17:20:43+00:00
    Reply

    Answer:

    \frac{x + 2}{ {x}^{2} - x - 20 }

    Step-by-step explanation:

    Since the roots are -4 and 5, we can write that as

    (x + 4)(x - 5)

    Apply foil method to find our denominator.

    We get

    {x}^{2} - x - 20

    So that our denominator.

    Since our denomiater gives us interger asymptote, our degree in our numerator must be 1 so the answer has to be a single interger or a single term.

    Since our x intercepts is -2, we use

    (x + 2)

    So our rational denomiater is

    \frac{x + 2}{ {x}^{2} - x - 20 }

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )