G(X)=3-2X dan (g°f) (x)= 2X2 +2X-12

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G(X)=3-2X dan (g°f) (x)= 2X2 +2X-12

Jawab:

(gof) (x) = 2x² + 2x – 12

g(x) = 3 – 2x

f(x) …?

gof(x) = g(f(x))

2x² + 2x – 12 = 3 – 2f(x)

2x² + 2x – 12 – 3 =  -2f(x)

2x² + 2x – 15 = -2f(x)

f(x) = 2x² + 2x – 15

      —————— bagi -2

f(x) = frac-{2x^{2} - 2x + 15}{2}

semoga membantu