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Matematik Tambahan(Additional Mathematic)

9.Given that function h is defined as h:x ---> px + 12. Given that the value of 3 maps into itselft under the function h, fine
Diberi fungsi h ditakrifkan sebagai h:x ---> px + 12. Berikan nilai 3 peta ke dirinya di bawah fungsi h. cari

a)The value of p
nilai p
b)The value of  h^{-1} (-2)
nilai  h^{-1} (-2)

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Jawapan

  • Pengguna Brainly
2016-02-09T16:12:33+08:00
a)

h:x ---> px + 12

h(x) = px + 12
h^2(x) = h { h(3) }
        0 = p ( 3p + 12 ) + 12
        0 = 3p^2 + 12p + 12
3p^2 + 12p + 12 = 0
( p + 2 ) = 0
p = - 2

b)

h(x) = (-2)x + 12
        = - 2x + 12
h(x) = n
h^-1(n) = x
     x = - 2n + 12
   2n = 12 - x
     n = 6 - x/2
h^-1(x) = - x/2 + 6
h^-1(-2) = - 2/2 + 6
              = - 1 + 6
              = 5

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