Tentukan ( fog)^-1 (x) jika f(x)=x-3 dan g(x)=2x+4 Tolong dijawab yah

Fungsi Komposisi dan  invers

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f(x) = x – 3

g(x) = 2x + 4

*

fog(x) = f { g(x)}

fog(x) = f {2x + 4 }

fog(x) = 2x + 4 – 3

fog(x) = 2x + 1

*

(fog)⁻¹ (2x + 1) = x

2x  + 1 = y

2x = y – 1

x = 1/2 (y – 1)

*

(fog)⁻¹ (y) = 1/2 (y -1)

(fog)⁻¹ (x) = 1/2 (x – 1)