Question

(fog) (x) = 3 - 2x dan f(x) = x²- x + 4
Tentukan g(x) = .......

Answer 1

(fog)(x)=3-2x
f(g(x))=3-2x
g²(x)-g(x)+4=3-2x
g²(x)-g(x)=3-2x-4=-2x-1
g²(x)-g(x)+(½)²=-2x-1+(½)²
(g(x)-½)²=-2x-1+¼=-2x-¾
g(x)-½=±√(-2x-¾)
g(x)=½±√(-2x-¾)