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Diketahui f(x) = x – 1, g(x) = 3 – 2x dan h(x) = 2x – 5.Tentukan nilai (fοgoh)(x) dan (fοgoh)(–5)

Diketahui f(x) = x – 1, g(x) = 3 – 2x dan h(x) = 2x – 5.Tentukan nilai (fοgoh)(x) dan (fοgoh)(–5)!

Jawab:

(goh)(x) = g(h(x)) = 3 – 2(2x – 5) = 13 – 4x
(fοgoh)(x) = f((goh)(x)) = 13 – 4x – 1 = 12 – 4x
(fοgoh)(-5) = 12 – 4(-5) = 12 + 20 = 32