Matematika

Pertanyaan

Diketahui f(x) = 2x+1 , g(x) = 3-4x, dan h(x) = x-5
untuk no.1 & 2

1. Tentukan ( f·g·h ) ⁻1 (x)
2. Tentukan ( g·f·h) ¬1 (3)

1 Jawaban

  • [tex](fogoh)(x) = 2(3 - 4(x - 5)) + 1) = 2(4 - 4x + 20) = 48 - 8x \\ {(fogoh)}^{ - 1} (x) = \frac{48 - x}{8} \\ (gofoh)(x) = 3 - 4(2(x - 5) + 1) = 3 - 4(2x - 9) = 3 - 8x + 36 = 39 - 8x \\ {gofoh)}^{ - 1} (x) = \frac{39 - x}{8} [/tex]
    (gofoh)-1(3)=(39-3)/8=36/8=9/2

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