Diketahui g(x) = 2x – 7 dan h(x) = x + 2 / 3

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Tentukan fungsi komposisi ( g^{-1} o h) (x)!

Diketahui g(x) = 2x – 7 dan h(x) = x + 2 / 3

Jawaban Terkonfirmasi

G (x) = 2x – 7 dan h (x) = x + 2/3
misal.g(x) = y
y = 2x – 7
2x = y + 7
x = (y + 7)/2
g-1(x) = (x + 7)/2
g-1oh (x) = g-1 { h(x) }
= g-1(x + 2/3)
= {(x + 2/3) + 7 } / 2
= (x + 2/3 + 7) / 2
= (x + 2/3 + 21/3) / 2
= (x + 23/3)/2
= 1/2x + 23/4