diketahui f(x) = 2x dan g(x) = 3x - 2 maka nilai (gof)–¹ (x) adalah
Matematika
Windydwi1
Pertanyaan
diketahui f(x) = 2x dan g(x) = 3x - 2 maka nilai (gof)–¹ (x) adalah
2 Jawaban
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1. Jawaban Anonyme
f(x) = 2x
g(x) = 3x - 2
gof (x)
= 3(2x) - 2
= 6x - 2
y = 6x - 2
6x = y + 2
x = (y + 2)/6
(gof)^-1 (x) = (x + 2)/6 ✓ -
2. Jawaban agustinus29
g(x) = 3x -2)
(gof)(x) = g(f(x))
g(f(x)) = 3.f(x) - 2 = 3(2x) -2 = 6x -2
(gof)(x) = 6x - 2
y = 6x -2
y + 2 = 6x
x = (y+2)/6
y' = (x'+2)/6
(gof)-1(x) = x/6 + 1/3