Tentukan ( fog)^-1 (x) jika f(x)=x-3 dan g(x)=2x+4
Tolong dijawab yah
Jawaban Terkonfirmasi
Fungsi Komposisi dan invers
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f(x) = x – 3
g(x) = 2x + 4
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fog(x) = f { g(x)}
fog(x) = f {2x + 4 }
fog(x) = 2x + 4 – 3
fog(x) = 2x + 1
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(fog)⁻¹ (2x + 1) = x
2x + 1 = y
2x = y – 1
x = 1/2 (y – 1)
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(fog)⁻¹ (y) = 1/2 (y -1)
(fog)⁻¹ (x) = 1/2 (x – 1)