Matematika

Pertanyaan

tolong dong
jika g(x) = x^2-2x dan (gof) (x)= x^2-10x+24 fungsi f(x) adalah...
a. x-6
b. 4-x
c. 6-x
d. x-6
e. x+6

1 Jawaban

  • gof(x) = g(f(x))
    {f(x)}² - 2f(x) = x² - 10x + 24
    {f(x) - 1}² - 1 = x² - 10x + 24
    {f(x) - 1}² = x² - 10x + 24 + 1
    {f(x) - 1}² = x² - 10x + 25
    {f(x) - 1}² = (x - 5)²
    f(x) - 1 = x - 5
    f(x) = x - 5 + 1
    f(x) = x - 4

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