Matematika

Pertanyaan

di ketahui fungsi h(x)=1/2 x + n. jika h(n+ 1)= h(2n - 2),nilai n =

2 Jawaban

  • h(x) = 1/2 x + n

    h(n + 1) = 1/2(n + 1) + n
                  = 1/2 n + 1/2 + n
                  = 3/2n + 1/2

    h(2n - 2) = 1/2(2n - 2) + n
                   = n - 1 + n
                   = 2n - 1

    h(n + 1) = h(2n - 2)
    3/2 n + 1/2 = 2n - 1
    --------------------------- kedua ruas dikali 2
    3n + 1 = 4n - 2
    4n - 3n = 2 + 1
    n = 3
  • h(x) = ½x+n
    h(n+1) = h(2n-2)
    1/2(n+1)+n = 1/2(2n-2) +n
    ½n+½+n = n-1+n
    1 ½n+ ½ = 2n-1
    1 ½n - 2n = -1-½
    -½n = -1 ½
    n = -1 ½/-½
    n = 3

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