Matematika

Pertanyaan

fungsi komposisi invers:
1. (f o g) (x) = 5 - 2x
f⁻¹ (x) = 3x + 7
g⁻¹ (x) = ......
tolong dikerjakan menggunakan cara.......

2 Jawaban

  • (fog)(x) = 5-2x
    3(g(x))+7=5-2x
    3(g(x))= 5 - 2x - 7
    (g(x)) = -2 -2x / 3
    y = -2-2x /3
    3y = -2-2x
    3y+2 = -2x
    x = 3y+2 / -2
    g(x)-1 = 3x+2/-2
  • f⁻¹ (x) = 3x + 7
    f(x) = (x-7)/3

    f( g(x) ) = 5 -2x
    g(x) - 7 / 3 = 
    5 -2x
    g(x) - 7 = 15 - 6x
    g(x) = 22-6x

    y=22-6x
    6x= 22-y
    x = 22 - y / 6
    g⁻¹ (x) = (22-x)/6

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