F(x)=x²+6x+4 dan gof(x)=x+3​

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F(x)=x²+6x+4 dan gof(x)=x+3​

(gof)(x) = x + 3

g(f(x)) = x + 3

g(x² + 6x + 4) = x + 3

Misal y = x² + 6x + 4 maka

y = x² + 6x + 9 – 5

y = (x + 3)² – 5

y + 5 = (x + 3)²

±√(y + 5) = x + 3

-3 ± √(y + 5) = x

g(y) = (-3 ± √(y + 5) + 3

g(y) = ± √(y + 5)

g(x) = ± √(x + 5)