what is the value of k if the function f(x)=(2-k)/(5x+k) if the graph of the function passes through the point (-1,1/2)

Question

what is the value of k if the function f(x)=(2-k)/(5x+k) if the graph of the function passes through the point (-1,1/2)

in progress 0
Nick 2 months 2021-07-23T04:28:06+00:00 1 Answers 2 views 0

Answers ( )

    0
    2021-07-23T04:29:30+00:00

    Answer:

    k = 3.

    Step-by-step explanation:

    At the given point x = -1 an f(x) = 1/2, so we have the equation:

    1/2 = (2 – k)/(5(-1) + k)

    (2 – k)/(k – 5) = 1/2

    Cross multiplying:

    2(2 – k) = k – 5

    4 – 2k = k – 5

    -2k – k = -5 -4

    -3k = -9

    k = 3.

Leave an answer

Browse

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